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201002002300 = 2252111371817369
BaseRepresentation
bin1011101100110010100…
…1110010011101111100
3201012211011201200020201
42323030221302131330
511243123003033200
6232201122253244
720344005554341
oct2731451623574
9635734650221
10201002002300
1178276432380
1232b571b7224
1315c53aaa848
149a2b1d07c8
1553663edc6a
hex2ecca7277c

201002002300 has 144 divisors (see below), whose sum is σ = 482013211680. Its totient is φ = 72147456000.

The previous prime is 201002002291. The next prime is 201002002319. The reversal of 201002002300 is 3200200102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27273016 + ... + 27280384.

It is an arithmetic number, because the mean of its divisors is an integer number (3347313970).

Almost surely, 2201002002300 is an apocalyptic number.

201002002300 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 201002002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241006605840).

201002002300 is an abundant number, since it is smaller than the sum of its proper divisors (281011209380).

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

201002002300 is a wasteful number, since it uses less digits than its factorization.

201002002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 201002002300 its reverse (3200200102), we get a palindrome (204202202402).

The spelling of 201002002300 in words is "two hundred one billion, two million, two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 181 220 274 275 362 548 550 685 724 905 1100 1370 1507 1810 1991 2740 3014 3425 3620 3982 4525 6028 6850 7369 7535 7964 9050 9955 13700 14738 15070 18100 19910 24797 29476 30140 36845 37675 39820 49594 49775 73690 75350 81059 99188 99550 123985 147380 150700 162118 184225 199100 247970 272767 324236 368450 405295 495940 545534 619925 736900 810590 1009553 1091068 1239850 1333789 1363835 1621180 2019106 2026475 2479700 2667578 2727670 4038212 4052950 5047765 5335156 5455340 6668945 6819175 8105900 10095530 11105083 13337890 13638350 14671679 20191060 22210166 25238825 26675780 27276700 29343358 33344725 44420332 50477650 55525415 58686716 66689450 73358395 100955300 111050830 133378900 146716790 182729093 222101660 277627075 293433580 365458186 366791975 555254150 730916372 733583950 913645465 1110508300 1467167900 1827290930 2010020023 3654581860 4020040046 4568227325 8040080092 9136454650 10050100115 18272909300 20100200230 40200400460 50250500575 100501001150 201002002300