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10243110432 = 253607175781
BaseRepresentation
bin10011000101000100…
…10111011000100000
3222102212012220221110
421202202113120200
5131434214013212
64412225223320
7511556000502
oct114242273040
928385186843
1010243110432
114386a72525
121b9a491b40
13c73189cb9
146d2567d72
153ee3d0a3c
hex262897620

10243110432 has 48 divisors (see below), whose sum is σ = 26932614912. Its totient is φ = 3408725760.

The previous prime is 10243110379. The next prime is 10243110433. The reversal of 10243110432 is 23401134201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×102431104322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10243110399 and 10243110408.

It is not an unprimeable number, because it can be changed into a prime (10243110433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29619 + ... + 146162.

It is an arithmetic number, because the mean of its divisors is an integer number (561096144).

Almost surely, 210243110432 is an apocalyptic number.

10243110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10243110432 is an abundant number, since it is smaller than the sum of its proper divisors (16689504480).

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

10243110432 is a wasteful number, since it uses less digits than its factorization.

10243110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176401 (or 176393 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10243110432 its reverse (23401134201), we get a palindrome (33644244633).

The spelling of 10243110432 in words is "ten billion, two hundred forty-three million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 1214 1821 2428 3642 4856 7284 9712 14568 19424 29136 58272 175781 351562 527343 703124 1054686 1406248 2109372 2812496 4218744 5624992 8437488 16874976 106699067 213398134 320097201 426796268 640194402 853592536 1280388804 1707185072 2560777608 3414370144 5121555216 10243110432