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131331002132050 = 25271919749022877
BaseRepresentation
bin11101110111000111100001…
…101110101110011001010010
3122020000010021100100020002221
4131313013201232232121102
5114203211343021211200
61143152343544531254
736443231443152610
oct3567074156563122
9566003240306087
10131331002132050
113893418aa03056
12128909b2a80b2a
1358385ca54a156
142460650cd66b0
15102b34a09a91a
hex7771e1bae652

131331002132050 has 48 divisors (see below), whose sum is σ = 293865460424640. Its totient is φ = 42657889412160.

The previous prime is 131331002132041. The next prime is 131331002132059. The reversal of 131331002132050 is 50231200133131.

It is an interprime number because it is at equal distance from previous prime (131331002132041) and next prime (131331002132059).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131331002132059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9874504789 + ... + 9874518088.

It is an arithmetic number, because the mean of its divisors is an integer number (6122197092180).

Almost surely, 2131331002132050 is an apocalyptic number.

131331002132050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131331002132050 is an abundant number, since it is smaller than the sum of its proper divisors (162534458292590).

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

131331002132050 is a wasteful number, since it uses less digits than its factorization.

131331002132050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19749022915 (or 19749022910 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 131331002132050 its reverse (50231200133131), we get a palindrome (181562202265181).

The spelling of 131331002132050 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, two million, one hundred thirty-two thousand, fifty".

Divisors: 1 2 5 7 10 14 19 25 35 38 50 70 95 133 175 190 266 350 475 665 950 1330 3325 6650 19749022877 39498045754 98745114385 138243160139 197490228770 276486320278 375231434663 493725571925 691215800695 750462869326 987451143850 1382431601390 1876157173315 2626620042641 3456079003475 3752314346630 5253240085282 6912158006950 9380785866575 13133100213205 18761571733150 26266200426410 65665501066025 131331002132050