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10231110012013 = 1115722939316581
BaseRepresentation
bin1001010011100001110110…
…1011011000110001101101
31100020002021122111021220221
42110320131223120301231
52320111303130341023
633432035042411341
72104113305132632
oct224703553306155
940202248437827
1010231110012013
113294a97971750
121192a36060b51
13592a357b7617
1427528cc42189
1512b2046a385d
hex94e1dad8c6d

10231110012013 has 32 divisors (see below), whose sum is σ = 11285935297920. Its totient is φ = 9197671392000.

The previous prime is 10231110011987. The next prime is 10231110012017. The reversal of 10231110012013 is 31021001113201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10231110012013 is a prime.

It is a super-2 number, since 2×102311100120132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231110012017) 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 31 ways as a sum of consecutive naturals, for example, 1554640383 + ... + 1554646963.

It is an arithmetic number, because the mean of its divisors is an integer number (352685478060).

Almost surely, 210231110012013 is an apocalyptic number.

It is an amenable number.

10231110012013 is a deficient number, since it is larger than the sum of its proper divisors (1054825285907).

10231110012013 is a wasteful number, since it uses less digits than its factorization.

10231110012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10231110012013 its reverse (31021001113201), we get a palindrome (41252111125214).

The spelling of 10231110012013 in words is "ten trillion, two hundred thirty-one billion, one hundred ten million, twelve thousand, thirteen".

Divisors: 1 11 157 229 1727 2519 3931 6581 35953 43241 72391 395483 617167 900199 1033217 1507049 6788837 9902189 11365387 16577539 25869911 141331243 236606693 284569021 1554643673 2602673623 4061576027 5924209619 44677336297 65166305809 930100910183 10231110012013