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131141123230221 = 321313747713171473
BaseRepresentation
bin11101110100010110101100…
…000100001100101000001101
3122012022222011100200121012100
4131310112230010030220031
5114142104010021331341
61142525222245025313
736423430200134466
oct3564265404145015
9565288140617170
10131141123230221
11388707022487a5
12128600409b5239
13582372a038180
14245539b09bd6d
1510264354553b6
hex7745ac10ca0d

131141123230221 has 48 divisors (see below), whose sum is σ = 205491839310576. Its totient is φ = 80111016050688.

The previous prime is 131141123230207. The next prime is 131141123230261. The reversal of 131141123230221 is 122032321141131.

131141123230221 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 112 + 323 + 0 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40203347853321 + 90937775376900 = 6340611^2 + 9536130^2 .

It is not a de Polignac number, because 131141123230221 - 215 = 131141123197453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141123230261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764705941 + ... + 764877413.

It is an arithmetic number, because the mean of its divisors is an integer number (4281079985637).

Almost surely, 2131141123230221 is an apocalyptic number.

It is an amenable number.

131141123230221 is a deficient number, since it is larger than the sum of its proper divisors (74350716080355).

131141123230221 is a wasteful number, since it uses less digits than its factorization.

131141123230221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219342 (or 219339 counting only the distinct ones).

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

Adding to 131141123230221 its reverse (122032321141131), we get a palindrome (253173444371352).

The spelling of 131141123230221 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-three million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 137 411 1233 1781 5343 16029 47713 143139 171473 429417 514419 620269 1543257 1860807 2229149 5582421 6536681 6687447 19610043 20062341 23491801 58830129 70475403 84976853 211426209 254930559 305393413 764791677 916180239 2748540717 8181491249 24544473747 73633421241 106359386237 319078158711 957234476133 1120864301113 3362592903339 10087778710017 14571235914469 43713707743407 131141123230221