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202120011232131 = 3541739168518023
BaseRepresentation
bin101101111101001110111011…
…011110001011001110000011
3222111122111002002210011121210
4231331032323132023032003
5202443013240333412011
61553512352403421203
760400455204415656
oct5575167336131603
9874574062704553
10202120011232131
11594466850a0103
121a804266984803
1388a1ab2140c35
1437ca93710189d
151857912ee06a6
hexb7d3bb78b383

202120011232131 has 16 divisors (see below), whose sum is σ = 270356836263680. Its totient is φ = 134315604254880.

The previous prime is 202120011232067. The next prime is 202120011232187. The reversal of 202120011232131 is 131232110021202.

It is not a de Polignac number, because 202120011232131 - 26 = 202120011232067 is a prime.

It is a super-2 number, since 2×2021200112321312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202120011232098 and 202120011232107.

It is not an unprimeable number, because it can be changed into a prime (202120001232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83059615 + ... + 85458408.

It is an arithmetic number, because the mean of its divisors is an integer number (16897302266480).

Almost surely, 2202120011232131 is an apocalyptic number.

202120011232131 is a deficient number, since it is larger than the sum of its proper divisors (68236825031549).

202120011232131 is a wasteful number, since it uses less digits than its factorization.

202120011232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168519306.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 202120011232131 its reverse (131232110021202), we get a palindrome (333352121253333).

The spelling of 202120011232131 in words is "two hundred two trillion, one hundred twenty billion, eleven million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 541 739 1623 2217 399799 1199397 168518023 505554069 91168250443 124534818997 273504751329 373604456991 67373337077377 202120011232131