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203320132143200 = 25521819199152641
BaseRepresentation
bin101110001110101100101000…
…010000001000100001100000
3222122220012210121000012101222
4232032230220100020201200
5203122144112312040300
62000231551303514212
760553252262016302
oct5616545020104140
9878805717005358
10203320132143200
11598696470604a6
121a978978a58968
13895b0107b1447
14382ca65701972
151878c53611785
hexb8eb28408860

203320132143200 has 144 divisors (see below), whose sum is σ = 499155092654400. Its totient is φ = 80869404672000.

The previous prime is 203320132143187. The next prime is 203320132143221. The reversal of 203320132143200 is 2341231023302.

It is a happy number.

It is a super-2 number, since 2×2033201321432002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203320132143200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331938880 + ... + 1332091520.

It is an arithmetic number, because the mean of its divisors is an integer number (3466354810100).

Almost surely, 2203320132143200 is an apocalyptic number.

203320132143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203320132143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249577546327200).

203320132143200 is an abundant number, since it is smaller than the sum of its proper divisors (295834960511200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203320132143200 is a wasteful number, since it uses less digits than its factorization.

203320132143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162041 (or 162028 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 203320132143200 its reverse (2341231023302), we get a palindrome (205661363166502).

The spelling of 203320132143200 in words is "two hundred three trillion, three hundred twenty billion, one hundred thirty-two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 181 200 362 400 724 800 905 1448 1810 2896 3620 4525 5792 7240 9050 9199 14480 18100 18398 28960 36200 36796 45995 72400 73592 91990 144800 147184 152641 183980 229975 294368 305282 367960 459950 610564 735920 763205 919900 1221128 1471840 1526410 1665019 1839800 2442256 3052820 3330038 3679600 3816025 4884512 6105640 6660076 7359200 7632050 8325095 12211280 13320152 15264100 16650190 24422560 26640304 27628021 30528200 33300380 41625475 53280608 55256042 61056400 66600760 83250950 110512084 122112800 133201520 138140105 166501900 221024168 266403040 276280210 333003800 442048336 552560420 666007600 690700525 884096672 1105120840 1332015200 1381401050 1404144559 2210241680 2762802100 2808289118 4420483360 5525604200 5616578236 7020722795 11051208400 11233156472 14041445590 22102416800 22466312944 28082891180 35103613975 44932625888 56165782360 70207227950 112331564720 140414455900 224663129440 254150165179 280828911800 508300330358 561657823600 1016600660716 1123315647200 1270750825895 2033201321432 2541501651790 4066402642864 5083003303580 6353754129475 8132805285728 10166006607160 12707508258950 20332013214320 25415016517900 40664026428640 50830033035800 101660066071600 203320132143200