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123313110001107 = 31367173272787043
BaseRepresentation
bin11100000010011100010010…
…000111100010010111010011
3121011121121200122202101202020
4130002130102013202113103
5112130330222130013412
61114133132150222523
734655035551426315
oct3402342207422723
9534547618671666
10123313110001107
1136322883914044
12119b6aa7054a43
1353a64b7b92b80
14226455a2a97b5
15e3c9cc48818c
hex7027121e25d3

123313110001107 has 32 divisors (see below), whose sum is σ = 180746513058048. Its totient is φ = 74320284018816.

The previous prime is 123313110001063. The next prime is 123313110001129. The reversal of 123313110001107 is 701100011313321.

It is a happy number.

It is not a de Polignac number, because 123313110001107 - 26 = 123313110001043 is a prime.

It is a super-2 number, since 2×1233131100011072 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123313110003107) 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, 135941473 + ... + 136845570.

It is an arithmetic number, because the mean of its divisors is an integer number (5648328533064).

Almost surely, 2123313110001107 is an apocalyptic number.

123313110001107 is a deficient number, since it is larger than the sum of its proper divisors (57433403056941).

123313110001107 is a wasteful number, since it uses less digits than its factorization.

123313110001107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272787299.

The product of its (nonzero) digits is 378, while the sum is 24.

Adding to 123313110001107 its reverse (701100011313321), we get a palindrome (824413121314428).

The spelling of 123313110001107 in words is "one hundred twenty-three trillion, three hundred thirteen billion, one hundred ten million, one thousand, one hundred seven".

Divisors: 1 3 13 39 67 173 201 519 871 2249 2613 6747 11591 34773 150683 452049 272787043 818361129 3546231559 10638694677 18276731881 47192158439 54830195643 141576475317 237597514453 613498059707 712792543359 1840494179121 3161874615413 9485623846239 41104370000369 123313110001107