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10041212532 = 22313292219543
BaseRepresentation
bin10010101101000000…
…01011111001110100
3221220210022110002110
421112200023321310
5131031022300112
64340214011020
7503554620051
oct112640137164
927823273073
1010041212532
11429300365a
121b42946a70
13c403b9ba0
146b3810028
153db7ee13c
hex25680be74

10041212532 has 48 divisors (see below), whose sum is σ = 26101837440. Its totient is φ = 2983064448.

The previous prime is 10041212509. The next prime is 10041212539. The reversal of 10041212532 is 23521214001.

It is a super-2 number, since 2×100412125322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10041212499 and 10041212508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041212539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105248 + ... + 1114295.

It is an arithmetic number, because the mean of its divisors is an integer number (543788280).

Almost surely, 210041212532 is an apocalyptic number.

10041212532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041212532 is an abundant number, since it is smaller than the sum of its proper divisors (16060624908).

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

10041212532 is a wasteful number, since it uses less digits than its factorization.

10041212532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219592 (or 2219590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10041212532 its reverse (23521214001), we get a palindrome (33562426533).

The spelling of 10041212532 in words is "ten billion, forty-one million, two hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 2219543 4439086 6658629 8878172 13317258 26634516 28854059 57708118 64366747 86562177 115416236 128733494 173124354 193100241 257466988 346248708 386200482 772400964 836767711 1673535422 2510303133 3347070844 5020606266 10041212532