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131422405535140 = 22513015050822657
BaseRepresentation
bin11101111000011100101001…
…110011000010010110100100
3122020022212012101222012100111
4131320130221303002112210
5114211211041304111030
61143302341501022404
736452645503234426
oct3570345163022644
9566285171865314
10131422405535140
1138969a24827705
12128a6661854a04
13584410603cb55
142464c42350816
15102d8e974062a
hex778729cc25a4

131422405535140 has 24 divisors (see below), whose sum is σ = 276199186230072. Its totient is φ = 52528555622400.

The previous prime is 131422405535129. The next prime is 131422405535143. The reversal of 131422405535140 is 41535504224131.

It can be written as a sum of positive squares in 4 ways, for example, as 3523677105316 + 127898728429824 = 1877146^2 + 11309232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131422405535093 and 131422405535102.

It is not an unprimeable number, because it can be changed into a prime (131422405535143) 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 7 ways as a sum of consecutive naturals, for example, 2525385309 + ... + 2525437348.

It is an arithmetic number, because the mean of its divisors is an integer number (11508299426253).

Almost surely, 2131422405535140 is an apocalyptic number.

131422405535140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131422405535140 is an abundant number, since it is smaller than the sum of its proper divisors (144776780694932).

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

131422405535140 is a wasteful number, since it uses less digits than its factorization.

131422405535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050823967 (or 5050823965 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 131422405535140 its reverse (41535504224131), we get a palindrome (172957909759271).

The spelling of 131422405535140 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, four hundred five million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1301 2602 5204 6505 13010 26020 5050822657 10101645314 20203290628 25254113285 50508226570 101016453140 6571120276757 13142240553514 26284481107028 32855601383785 65711202767570 131422405535140