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10231312002131 = 112394498667511
BaseRepresentation
bin1001010011100010100110…
…1101111010110001010011
31100020002210201120110021102
42110320221231322301103
52320112211333032011
633432111100015015
72104121310046253
oct224705155726123
940202721513242
1010231312002131
113295090993930
121192a9183146b
13592a685ba6bc
142752ab9c1963
1512b2172a273b
hex94e29b7ac53

10231312002131 has 16 divisors (see below), whose sum is σ = 11233095552000. Its totient is φ = 9241645862400.

The previous prime is 10231312002113. The next prime is 10231312002151. The reversal of 10231312002131 is 13120021313201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10231312002131 - 226 = 10231244893267 is a prime.

It is a super-2 number, since 2×102313120021312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10231312002151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153335 + ... + 5514176.

It is an arithmetic number, because the mean of its divisors is an integer number (702068472000).

Almost surely, 210231312002131 is an apocalyptic number.

10231312002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10231312002131 is a deficient number, since it is larger than the sum of its proper divisors (1001783549869).

10231312002131 is a wasteful number, since it uses less digits than its factorization.

10231312002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668210.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10231312002131 its reverse (13120021313201), we get a palindrome (23351333315332).

The spelling of 10231312002131 in words is "ten trillion, two hundred thirty-one billion, three hundred twelve million, two thousand, one hundred thirty-one".

Divisors: 1 11 239 449 2629 4939 107311 1180421 8667511 95342621 2071535129 3891712439 22786886419 42808836829 930119272921 10231312002131