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123013312231411 = 71741331637911941
BaseRepresentation
bin11011111110000101000100…
…110001110011011111110011
3121010112221212020100201211101
4123332011010301303133303
5112110422230412401121
61113343311355425231
734624263360430450
oct3376050461633763
9533487766321741
10123013312231411
113621771a893428
1211968979455217
13538414ac1c784
142253c39d6a827
15e34cd2924491
hex6fe144c737f3

123013312231411 has 64 divisors (see below), whose sum is σ = 152984563522560. Its totient is φ = 96501487104000.

The previous prime is 123013312231399. The next prime is 123013312231417. The reversal of 123013312231411 is 114132213310321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 123013312231411 - 25 = 123013312231379 is a prime.

It is a super-2 number, since 2×1230133122314112 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123013312231411.

It is not an unprimeable number, because it can be changed into a prime (123013312231417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10301753701 + ... + 10301765641.

It is an arithmetic number, because the mean of its divisors is an integer number (2390383805040).

Almost surely, 2123013312231411 is an apocalyptic number.

123013312231411 is a deficient number, since it is larger than the sum of its proper divisors (29971251291149).

123013312231411 is a wasteful number, since it uses less digits than its factorization.

123013312231411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18716.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 123013312231411 its reverse (114132213310321), we get a palindrome (237145525541732).

The spelling of 123013312231411 in words is "one hundred twenty-three trillion, thirteen billion, three hundred twelve million, two hundred thirty-one thousand, four hundred eleven".

Divisors: 1 7 17 41 119 287 331 697 2317 4879 5627 6379 11941 13571 39389 44653 83587 94997 108443 202997 230707 261539 489581 759101 1420979 1614949 1830773 2111449 3427067 3952471 4446163 8322877 14780143 27667297 31123141 35894633 58260139 67192007 76171639 86569409 162051311 251262431 470344049 533201473 605985863 1134359177 1294917863 1471679953 2754872287 3123037199 9064425041 10301759671 19284106009 21861260393 25212812509 53091632383 176489687563 371641426681 428617812653 1033725312869 3000324688571 7236077190083 17573330318773 123013312231411