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131021220413034 = 23271975278431247
BaseRepresentation
bin11101110010100111000001…
…010011001111111001101010
3122011220111200010101101110100
4131302213001103033321222
5114133122424411204114
61142354152343330230
736411653661042060
oct3562470123177152
9564814603341410
10131021220413034
1138824873230556
1212840959750976
13581532c019233
14244d664a12030
151023268c99909
hex7729c14cfe6a

131021220413034 has 48 divisors (see below), whose sum is σ = 326080368776448. Its totient is φ = 37244610871776.

The previous prime is 131021220412997. The next prime is 131021220413053. The reversal of 131021220413034 is 430314022120131.

131021220413034 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 21 + 220 + 413 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131021220412989 and 131021220413007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2639190802 + ... + 2639240445.

It is an arithmetic number, because the mean of its divisors is an integer number (6793341016176).

Almost surely, 2131021220413034 is an apocalyptic number.

131021220413034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131021220413034 is an abundant number, since it is smaller than the sum of its proper divisors (195059148363414).

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

131021220413034 is a wasteful number, since it uses less digits than its factorization.

131021220413034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278431459 (or 5278431456 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131021220413034 its reverse (430314022120131), we get a palindrome (561335242533165).

The spelling of 131021220413034 in words is "one hundred thirty-one trillion, twenty-one billion, two hundred twenty million, four hundred thirteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 1182 1379 1773 2758 3546 4137 8274 12411 24822 5278431247 10556862494 15835293741 31670587482 36949018729 47505881223 73898037458 95011762446 110847056187 221694112374 332541168561 665082337122 1039850955659 2079701911318 3119552866977 6239105733954 7278956689613 9358658600931 14557913379226 18717317201862 21836870068839 43673740137678 65510610206517 131021220413034