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123023011011121 = 13367839154919841
BaseRepresentation
bin11011111110001110000110…
…110111101101101000110001
3121010120212220011022210101201
4123332032012313231220301
5112111102111304323441
61113351554022131201
734625055616621234
oct3376160667555061
9533525804283351
10123023011011121
1136220847570151
121196a825580b01
1353850353a2890
1422544ba0bd41b
15e3519e131c31
hex6fe386deda31

123023011011121 has 32 divisors (see below), whose sum is σ = 133098231168000. Its totient is φ = 113036570910720.

The previous prime is 123023011011107. The next prime is 123023011011127. The reversal of 123023011011121 is 121110110320321.

It is a cyclic number.

It is not a de Polignac number, because 123023011011121 - 225 = 123022977456689 is a prime.

It is a super-2 number, since 2×1230230110111212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123023011011127) 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, 6200434161 + ... + 6200454001.

It is an arithmetic number, because the mean of its divisors is an integer number (4159319724000).

Almost surely, 2123023011011121 is an apocalyptic number.

It is an amenable number.

123023011011121 is a deficient number, since it is larger than the sum of its proper divisors (10075220156879).

123023011011121 is a wasteful number, since it uses less digits than its factorization.

123023011011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22609.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 123023011011121 its reverse (121110110320321), we get a palindrome (244133121331442).

The spelling of 123023011011121 in words is "one hundred twenty-three trillion, twenty-three billion, eleven million, eleven thousand, one hundred twenty-one".

Divisors: 1 13 367 839 1549 4771 10907 19841 20137 257933 307913 568483 1299611 4002869 7281647 7390279 16646599 16894943 30733709 94661411 216405787 399538217 476957237 6109301833 6200444081 11279271203 25785581851 79420923829 146630525639 335212564063 9463308539317 123023011011121