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131221122430311 = 3347103405139819
BaseRepresentation
bin11101110101100001001100…
…011000111011010101100111
3122012121121122122022000221000
4131311201030120323111213
5114144411324320232221
61143030052413324343
736432261512125134
oct3565411430732547
9565547578260830
10131221122430311
11388a16247588a1
12128736484966b3
13582b138c4cb64
1424591c9aa958b
151028568816e26
hex77584c63b567

131221122430311 has 16 divisors (see below), whose sum is σ = 198537868454400. Its totient is φ = 85619455769304.

The previous prime is 131221122430201. The next prime is 131221122430319. The reversal of 131221122430311 is 113034221122131.

131221122430311 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 211 + 2 + 2 + 430 + 3 + 11 = 666.

It is not a de Polignac number, because 131221122430311 - 213 = 131221122422119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221122430319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51702568641 + ... + 51702571178.

It is an arithmetic number, because the mean of its divisors is an integer number (12408616778400).

Almost surely, 2131221122430311 is an apocalyptic number.

131221122430311 is a deficient number, since it is larger than the sum of its proper divisors (67316746024089).

131221122430311 is a wasteful number, since it uses less digits than its factorization.

131221122430311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103405139875 (or 103405139869 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131221122430311 its reverse (113034221122131), we get a palindrome (244255343552442).

The spelling of 131221122430311 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, one hundred twenty-two million, four hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 27 47 141 423 1269 103405139819 310215419457 930646258371 2791938775113 4860041571493 14580124714479 43740374143437 131221122430311