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10041222432 = 253104596067
BaseRepresentation
bin10010101101000000…
…01110010100100000
3221220210022221200010
421112200032110200
5131031023104212
64340214124520
7503554660653
oct112640162440
927823287603
1010041222432
11429301003a
121b42950740
13c403c1547
146b381389a
153db80203c
hex25680e520

10041222432 has 24 divisors (see below), whose sum is σ = 26358209136. Its totient is φ = 3347074112.

The previous prime is 10041222419. The next prime is 10041222487. The reversal of 10041222432 is 23422214001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×100412224323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10041222399 and 10041222408.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52297938 + ... + 52298129.

It is an arithmetic number, because the mean of its divisors is an integer number (1098258714).

Almost surely, 210041222432 is an apocalyptic number.

10041222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10041222432 is an abundant number, since it is smaller than the sum of its proper divisors (16316986704).

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

10041222432 is a wasteful number, since it uses less digits than its factorization.

10041222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104596080 (or 104596072 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10041222432 its reverse (23422214001), we get a palindrome (33463436433).

The spelling of 10041222432 in words is "ten billion, forty-one million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 104596067 209192134 313788201 418384268 627576402 836768536 1255152804 1673537072 2510305608 3347074144 5020611216 10041222432