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131431021021011 = 37110944471272989
BaseRepresentation
bin11101111000100100101011…
…010100100000011101010011
3122020100200102211112020010210
4131320210223110200131103
5114211331212340133021
61143310324424455203
736453402136532145
oct3570445324403523
9566320384466123
10131431021021011
1138972645a6a768
12128a826701a503
135844b79c4139a
14246541c672c95
15102dc50cb6e76
hex77892b520753

131431021021011 has 32 divisors (see below), whose sum is σ = 179380381593600. Its totient is φ = 85574734277760.

The previous prime is 131431021020997. The next prime is 131431021021049. The reversal of 131431021021011 is 110120120134131.

It is a happy number.

It is not a de Polignac number, because 131431021021011 - 25 = 131431021020979 is a prime.

It is a super-2 number, since 2×1314310210210112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131431021021051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102609505 + ... + 103882493.

It is an arithmetic number, because the mean of its divisors is an integer number (5605636924800).

Almost surely, 2131431021021011 is an apocalyptic number.

131431021021011 is a deficient number, since it is larger than the sum of its proper divisors (47949360572589).

131431021021011 is a wasteful number, since it uses less digits than its factorization.

131431021021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277619.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 131431021021011 its reverse (110120120134131), we get a palindrome (241551141155142).

The spelling of 131431021021011 in words is "one hundred thirty-one trillion, four hundred thirty-one billion, twenty-one million, twenty-one thousand, eleven".

Divisors: 1 3 71 109 213 327 4447 7739 13341 23217 315737 484723 947211 1272989 1454169 3818967 34415333 90382219 103245999 138755801 271146657 416267403 5660982083 9851661871 16982946249 29554985613 401929727893 617047047047 1205789183679 1851141141141 43810340340337 131431021021011