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23200012100 = 22521059721893
BaseRepresentation
bin10101100110110101…
…000001011101000100
32012212211220201121102
4111212311001131010
5340003200341400
614354040435232
71450626564146
oct254665013504
965784821542
1023200012100
119925890521
1245b5778b18
13225964bb15
1411a12b4c96
1590bb6c9d5
hex566d41744

23200012100 has 36 divisors (see below), whose sum is σ = 50351076804. Its totient is φ = 9278705280.

The previous prime is 23200012067. The next prime is 23200012109. The reversal of 23200012100 is 121000232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2188929796 + 21011082304 = 46786^2 + 144952^2 .

It is a super-2 number, since 2×232000121002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23200012109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1048754 + ... + 1070646.

Almost surely, 223200012100 is an apocalyptic number.

23200012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200012100 is an abundant number, since it is smaller than the sum of its proper divisors (27151064704).

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

23200012100 is a wasteful number, since it uses less digits than its factorization.

23200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32504 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 23200012100 its reverse (121000232), we get a palindrome (23321012332).

The spelling of 23200012100 in words is "twenty-three billion, two hundred million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10597 21194 21893 42388 43786 52985 87572 105970 109465 211940 218930 264925 437860 529850 547325 1059700 1094650 2189300 232000121 464000242 928000484 1160000605 2320001210 4640002420 5800003025 11600006050 23200012100