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10024442131 = 1131109283953
BaseRepresentation
bin10010101011000000…
…01101100100010011
3221212121202102102111
421111200031210103
5131012224122011
64334414330151
7503262231544
oct112540154423
927777672374
1010024442131
114284599820
121b391b9957
13c39a97782
146b14c64cb
153da0da121
hex25580d913

10024442131 has 32 divisors (see below), whose sum is σ = 11444336640. Its totient is φ = 8698233600.

The previous prime is 10024442063. The next prime is 10024442147. The reversal of 10024442131 is 13124442001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024442131 is a prime.

It is a super-2 number, since 2×100244421312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10024442191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10518351 + ... + 10519303.

It is an arithmetic number, because the mean of its divisors is an integer number (357635520).

Almost surely, 210024442131 is an apocalyptic number.

10024442131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10024442131 is a deficient number, since it is larger than the sum of its proper divisors (1419894509).

10024442131 is a wasteful number, since it uses less digits than its factorization.

10024442131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10024442131 its reverse (13124442001), we get a palindrome (23148884132).

The spelling of 10024442131 in words is "ten billion, twenty-four million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 11 31 109 283 341 953 1199 3113 3379 8773 10483 29543 30847 37169 96503 103877 269699 324973 339317 956257 1142647 2966689 3220187 8360669 10518827 29397191 35422057 91967359 323369101 911312921 10024442131