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10123311011 = 1117232838317
BaseRepresentation
bin10010110110110010…
…10111011110100011
3222010111210111000212
421123121113132203
5131213031423021
64352305404335
7505602503162
oct113331273643
928114714025
1010123311011
114325388440
121b663396ab
13c54403478
146c06a13d9
153e3b1985b
hex25b6577a3

10123311011 has 32 divisors (see below), whose sum is σ = 12246225408. Its totient is φ = 8254794240.

The previous prime is 10123311001. The next prime is 10123311013. The reversal of 10123311011 is 11011332101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-10123311011 is a prime.

It is a super-3 number, since 3×101233110113 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10123311013) 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, 1213025 + ... + 1221341.

It is an arithmetic number, because the mean of its divisors is an integer number (382694544).

Almost surely, 210123311011 is an apocalyptic number.

10123311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10123311011 is a deficient number, since it is larger than the sum of its proper divisors (2122914397).

10123311011 is a wasteful number, since it uses less digits than its factorization.

10123311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10123311011 its reverse (11011332101), we get a palindrome (21134643112).

The spelling of 10123311011 in words is "ten billion, one hundred twenty-three million, three hundred eleven thousand, eleven".

Divisors: 1 11 17 23 187 253 283 391 3113 4301 4811 6509 8317 52921 71599 91487 110653 141389 191291 1217183 1555279 2104201 2353711 3251947 25890821 35771417 40013087 54135353 440143957 595488883 920301001 10123311011