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130434444442131 = 3791315351785123
BaseRepresentation
bin11101101010000100100010…
…101110100011101000010011
3122002211102002200212121120120
4131222010202232203220103
5114044014220234122011
61141224431230041323
736321402061425534
oct3552044256435023
9562742080777516
10130434444442131
1138618a34517825
121276709b649243
1357a1bb8cac01b
14242d0bcb7268b
151012d74d82a06
hex76a122ba3a13

130434444442131 has 32 divisors (see below), whose sum is σ = 177491789291520. Its totient is φ = 85184166756000.

The previous prime is 130434444441937. The next prime is 130434444442151. The reversal of 130434444442131 is 131244444434031.

It is not a de Polignac number, because 130434444442131 - 29 = 130434444441619 is a prime.

It is a super-2 number, since 2×1304344444421312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130434444442151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165739936 + ... + 166525058.

It is an arithmetic number, because the mean of its divisors is an integer number (5546618415360).

Almost surely, 2130434444442131 is an apocalyptic number.

130434444442131 is a deficient number, since it is larger than the sum of its proper divisors (47057344849389).

130434444442131 is a wasteful number, since it uses less digits than its factorization.

130434444442131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790687.

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 130434444442131 its reverse (131244444434031), we get a palindrome (261678888876162).

The spelling of 130434444442131 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 79 131 237 393 5351 10349 16053 31047 422729 700981 785123 1268187 2102943 2355369 55377499 62024717 102851113 166132497 186074151 308553339 4201193173 8125237927 12603579519 24375713781 331894260667 550356305663 995682782001 1651068916989 43478148147377 130434444442131