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131115155111145 = 3257854137097441
BaseRepresentation
bin11101110011111110100000…
…001111101011110011101001
3122012020111010121002110200100
4131303332200033223303221
5114141142314202024040
61142505245402100013
736421520525563512
oct3563764017536351
9565214117073610
10131115155111145
1138860696993567
1212856bb41aa609
13582114c07793a
142454016305a09
15102591579cb30
hex773fa03ebce9

131115155111145 has 24 divisors (see below), whose sum is σ = 227269168585992. Its totient is φ = 69927190502400.

The previous prime is 131115155111123. The next prime is 131115155111183. The reversal of 131115155111145 is 541111551511131.

131115155111145 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 1 + 51 + 551 + 1 + 11 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22880178922329 + 108234976188816 = 4783323^2 + 10403604^2 .

It is not a de Polignac number, because 131115155111145 - 212 = 131115155107049 is a prime.

It is a super-2 number, since 2×1311151551111452 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15014376 + ... + 22083065.

It is an arithmetic number, because the mean of its divisors is an integer number (9469548691083).

Almost surely, 2131115155111145 is an apocalyptic number.

131115155111145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131115155111145 is a deficient number, since it is larger than the sum of its proper divisors (96154013474847).

131115155111145 is a wasteful number, since it uses less digits than its factorization.

131115155111145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37175993 (or 37175990 counting only the distinct ones).

The product of its digits is 7500, while the sum is 36.

The spelling of 131115155111145 in words is "one hundred thirty-one trillion, one hundred fifteen billion, one hundred fifty-five million, one hundred eleven thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 78541 235623 392705 706869 1178115 3534345 37097441 111292323 185487205 333876969 556461615 1669384845 2913670113581 8741010340743 14568350567905 26223031022229 43705051703715 131115155111145