Search a number
-
+
13131111030340 = 22519415571513139
BaseRepresentation
bin1011111100010101001100…
…1101010101111001000100
31201111022200201000222000011
42333011103031111321010
53210120003410432330
643532203225000004
72523456113102302
oct277052315257104
951438621028004
1013131111030340
114202966938416
121580a92623004
13743348aa3444
14335798ca1272
1517b884d0e82a
hexbf153355e44

13131111030340 has 96 divisors (see below), whose sum is σ = 29788037193600. Its totient is φ = 4845915233280.

The previous prime is 13131111030269. The next prime is 13131111030341. The reversal of 13131111030340 is 4303011113131.

It is a super-2 number, since 2×131311110303402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131111030341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7921491 + ... + 9434629.

It is an arithmetic number, because the mean of its divisors is an integer number (310292054100).

Almost surely, 213131111030340 is an apocalyptic number.

13131111030340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131111030340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894018596800).

13131111030340 is an abundant number, since it is smaller than the sum of its proper divisors (16656926163260).

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

13131111030340 is a wasteful number, since it uses less digits than its factorization.

13131111030340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513765 (or 1513763 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13131111030340 its reverse (4303011113131), we get a palindrome (17434122143471).

The spelling of 13131111030340 in words is "thirteen trillion, one hundred thirty-one billion, one hundred eleven million, thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 557 779 820 1114 1558 2228 2785 3116 3895 5570 7790 10583 11140 15580 21166 22837 42332 45674 52915 91348 105830 114185 211660 228370 433903 456740 867806 1513139 1735612 2169515 3026278 4339030 6052556 7565695 8678060 15131390 28749641 30262780 57499282 62038699 114998564 124077398 143748205 248154796 287496410 310193495 574992820 620386990 842818423 1178735281 1240773980 1685636846 2357470562 3371273692 4214092115 4714941124 5893676405 8428184230 11787352810 16013550037 16856368460 23574705620 32027100074 34555555343 64054200148 69111110686 80067750185 138222221372 160135500370 172777776715 320271000740 345555553430 656555551517 691111106860 1313111103034 2626222206068 3282777757585 6565555515170 13131111030340