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131413341210020 = 22527723720819713
BaseRepresentation
bin11101111000010100001101…
…100001011000010110100100
3122020021222210200211202212022
4131320110031201120112210
5114211034010322210040
61143254242221042312
736452205046603532
oct3570241541302644
9566258720752768
10131413341210020
11389660a31a1021
12128a49520b6398
1358432c015a06c
142464622593152
15102d568aa96b5
hex77850d8585a4

131413341210020 has 24 divisors (see below), whose sum is σ = 276964290980664. Its totient is φ = 52375569924096.

The previous prime is 131413341210013. The next prime is 131413341210029. The reversal of 131413341210020 is 20012143314131.

It can be written as a sum of positive squares in 4 ways, for example, as 22347024925696 + 109066316284324 = 4727264^2 + 10443482^2 .

It is a super-2 number, since 2×1314133412100202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131413341210029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11860404317 + ... + 11860415396.

It is an arithmetic number, because the mean of its divisors is an integer number (11540178790861).

Almost surely, 2131413341210020 is an apocalyptic number.

131413341210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413341210020 is an abundant number, since it is smaller than the sum of its proper divisors (145550949770644).

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

131413341210020 is a wasteful number, since it uses less digits than its factorization.

131413341210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23720819999 (or 23720819997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131413341210020 its reverse (20012143314131), we get a palindrome (151425484524151).

The spelling of 131413341210020 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 23720819713 47441639426 94883278852 118604098565 237208197130 474416394260 6570667060501 13141334121002 26282668242004 32853335302505 65706670605010 131413341210020