Search a number
-
+
13023131121132 = 22311470320978117
BaseRepresentation
bin1011110110000010111100…
…0110101011010111101100
31201002222222101210020020120
42331200233012223113230
53201332333031334012
643410424400444540
72512614221031336
oct275405706532754
951088871706216
1013023131121132
114171096007430
121563b78319750
137360cac66442
143304740c6456
15178b6524758c
hexbd82f1ab5ec

13023131121132 has 48 divisors (see below), whose sum is σ = 33156838536192. Its totient is φ = 3945564057280.

The previous prime is 13023131121107. The next prime is 13023131121157. The reversal of 13023131121132 is 23112113132031.

It is an interprime number because it is at equal distance from previous prime (13023131121107) and next prime (13023131121157).

It is a super-2 number, since 2×130231311211322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9868263 + ... + 11109854.

It is an arithmetic number, because the mean of its divisors is an integer number (690767469504).

Almost surely, 213023131121132 is an apocalyptic number.

13023131121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13023131121132 is an abundant number, since it is smaller than the sum of its proper divisors (20133707415060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023131121132 is a wasteful number, since it uses less digits than its factorization.

13023131121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20982838 (or 20982836 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13023131121132 its reverse (23112113132031), we get a palindrome (36135244253163).

The spelling of 13023131121132 in words is "thirteen trillion, twenty-three billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 4703 9406 14109 18812 28218 51733 56436 103466 155199 206932 310398 620796 20978117 41956234 62934351 83912468 125868702 230759287 251737404 461518574 692277861 923037148 1384555722 2769111444 98660084251 197320168502 295980252753 394640337004 591960505506 1085260926761 1183921011012 2170521853522 3255782780283 4341043707044 6511565560566 13023131121132