Search a number
-
+
131526141260540 = 2251331157311037339
BaseRepresentation
bin11101111001111101010000…
…111011011011001011111100
3122020200202221221001001110012
4131321331100323123023330
5114214411014130314130
61143422135233402352
736463310251322555
oct3571752073331374
9566622857031405
10131526141260540
11389a9a17953574
12129027927093b8
135850b287a11a0
142469c835b132c
15103146b8eb995
hex779f50edb2fc

131526141260540 has 96 divisors (see below), whose sum is σ = 307066449070080. Its totient is φ = 46993901011200.

The previous prime is 131526141260537. The next prime is 131526141260557. The reversal of 131526141260540 is 45062141625131.

It is a super-2 number, since 2×1315261412605402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126273191 + ... + 127310529.

It is an arithmetic number, because the mean of its divisors is an integer number (3198608844480).

Almost surely, 2131526141260540 is an apocalyptic number.

131526141260540 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 131526141260540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153533224535040).

131526141260540 is an abundant number, since it is smaller than the sum of its proper divisors (175540307809540).

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

131526141260540 is a wasteful number, since it uses less digits than its factorization.

131526141260540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053123 (or 1053121 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

Adding to 131526141260540 its reverse (45062141625131), we get a palindrome (176588282885671).

The spelling of 131526141260540 in words is "one hundred thirty-one trillion, five hundred twenty-six billion, one hundred forty-one million, two hundred sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 15731 31462 62924 78655 157310 204503 314620 409006 487661 818012 975322 1022515 1037339 1950644 2045030 2074678 2438305 4090060 4149356 4876610 5186695 6339593 9753220 10373390 12679186 13485407 20746780 25358372 26970814 31697965 32157509 53941628 63395930 64315018 67427035 126791860 128630036 134854070 160787545 269708140 321575090 418047617 643150180 836095234 1672190468 2090238085 4180476170 8360952340 16318379809 32636759618 65273519236 81591899045 163183798090 212138937517 326367596180 424277875034 505869774079 848555750068 1011739548158 1060694687585 2023479096316 2121389375170 2529348870395 4242778750340 5058697740790 6576307063027 10117395481580 13152614126054 26305228252108 32881535315135 65763070630270 131526141260540