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10024213131 = 331153322001
BaseRepresentation
bin10010101010111110…
…10101101010001011
3221212121022210022000
421111133111222023
5131012144310011
64334405402043
7503260256112
oct112537255213
927777283260
1010024213131
114284452769
121b39109323
13c39a1747a
146b1466c79
153da092356
hex2557d5a8b

10024213131 has 16 divisors (see below), whose sum is σ = 14863612320. Its totient is φ = 6676992000.

The previous prime is 10024213127. The next prime is 10024213139. The reversal of 10024213131 is 13131242001.

It is not a de Polignac number, because 10024213131 - 22 = 10024213127 is a prime.

It is a super-2 number, since 2×100242131312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10024213139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129870 + ... + 192131.

It is an arithmetic number, because the mean of its divisors is an integer number (928975770).

Almost surely, 210024213131 is an apocalyptic number.

10024213131 is a deficient number, since it is larger than the sum of its proper divisors (4839399189).

10024213131 is a wasteful number, since it uses less digits than its factorization.

10024213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323163 (or 323157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10024213131 its reverse (13131242001), we get a palindrome (23155455132).

The spelling of 10024213131 in words is "ten billion, twenty-four million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1153 3459 10377 31131 322001 966003 2898009 8694027 371267153 1113801459 3341404377 10024213131