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23102203300 = 22521122965837
BaseRepresentation
bin10101100000111111…
…111010010110100100
32012122000212112011021
4111200333322112210
5334303131001200
614340224220524
71445331326251
oct254077722644
965560775137
1023102203300
119885656300
124588a6a744
1322422c47a7
1411922d4428
1590329c41a
hex560ffa5a4

23102203300 has 108 divisors (see below), whose sum is σ = 57004515540. Its totient is φ = 8110995200.

The previous prime is 23102203297. The next prime is 23102203331. The reversal of 23102203300 is 330220132.

It can be written as a sum of positive squares in 6 ways, for example, as 2602836324 + 20499366976 = 51018^2 + 143176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317982 + ... + 383818.

Almost surely, 223102203300 is an apocalyptic number.

23102203300 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 23102203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28502257770).

23102203300 is an abundant number, since it is smaller than the sum of its proper divisors (33902312240).

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

23102203300 is a wasteful number, since it uses less digits than its factorization.

23102203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65902 (or 65884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23102203300 its reverse (330220132), we get a palindrome (23432423432).

The spelling of 23102203300 in words is "twenty-three billion, one hundred two million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 725 1100 1210 1276 1450 1595 2420 2900 3025 3190 3509 6050 6380 7018 7975 12100 14036 15950 17545 31900 35090 65837 70180 87725 131674 175450 263348 329185 350900 658370 724207 1316740 1448414 1645925 1909273 2896828 3291850 3621035 3818546 6583700 7242070 7637092 7966277 9546365 14484140 15932554 18105175 19092730 21002003 31865108 36210350 38185460 39831385 42004006 47731825 72420700 79662770 84008012 95463650 105010015 159325540 190927300 199156925 210020030 231022033 398313850 420040060 462044066 525050075 796627700 924088132 1050100150 1155110165 2100200300 2310220330 4620440660 5775550825 11551101650 23102203300