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10003200252 = 22343792111163
BaseRepresentation
bin10010101000011110…
…01011100011111100
3221211010210020001020
421110033023203330
5130441304402002
64332335144140
7502613541063
oct112417134374
927733706036
1010003200252
114273600451
121b32075050
13c3556b006
146ac7571da
153d82e12bc
hex2543cb8fc

10003200252 has 96 divisors (see below), whose sum is σ = 24321454080. Its totient is φ = 3197638080.

The previous prime is 10003200239. The next prime is 10003200269. The reversal of 10003200252 is 25200230001.

It is a super-2 number, since 2×100032002522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8600623 + ... + 8601785.

It is an arithmetic number, because the mean of its divisors is an integer number (253348480).

Almost surely, 210003200252 is an apocalyptic number.

10003200252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10003200252 is an abundant number, since it is smaller than the sum of its proper divisors (14318253828).

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

10003200252 is a wasteful number, since it uses less digits than its factorization.

10003200252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10003200252 its reverse (25200230001), we get a palindrome (35203430253).

The spelling of 10003200252 in words is "ten billion, three million, two hundred thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 43 79 86 129 158 172 211 237 258 316 422 474 516 633 844 948 1163 1266 2326 2532 3397 3489 4652 6794 6978 9073 10191 13588 13956 16669 18146 20382 27219 33338 36292 40764 50007 50009 54438 66676 91877 100014 100018 108876 150027 183754 200028 200036 245393 275631 300054 367508 490786 551262 600108 716767 736179 981572 1102524 1433534 1472358 2150301 2867068 2944716 3950711 4300602 7901422 8601204 10551899 11852133 15802844 19386047 21103798 23704266 31655697 38772094 42207596 47408532 58158141 63311394 77544188 116316282 126622788 232632564 833600021 1667200042 2500800063 3334400084 5001600126 10003200252