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131100311322 = 236471913147
BaseRepresentation
bin111101000011000101…
…1111111111100011010
3110112101121100212000000
41322012023333330122
54121443134430242
6140120542353430
712320534155041
oct1720613777432
9415347325000
10131100311322
1150665787332
12214a928b876
13c493b34116
1464b9689558
15362475ba4c
hex1e862fff1a

131100311322 has 56 divisors (see below), whose sum is σ = 301114190016. Its totient is φ = 42770291976.

The previous prime is 131100311317. The next prime is 131100311333. The reversal of 131100311322 is 223113001131.

131100311322 is a `hidden beast` number, since 1 + 31 + 1 + 0 + 0 + 311 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131100311295 and 131100311304.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 888048 + ... + 1025099.

Almost surely, 2131100311322 is an apocalyptic number.

131100311322 is an abundant number, since it is smaller than the sum of its proper divisors (170013878694).

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

131100311322 is an equidigital number, since it uses as much as digits as its factorization.

131100311322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913214 (or 1913199 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131100311322 its reverse (223113001131), we get a palindrome (354213312453).

The spelling of 131100311322 in words is "one hundred thirty-one billion, one hundred million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 243 282 423 486 729 846 1269 1458 2538 3807 7614 11421 22842 34263 68526 1913147 3826294 5739441 11478882 17218323 34436646 51654969 89917909 103309938 154964907 179835818 269753727 309929814 464894721 539507454 809261181 929789442 1394684163 1618522362 2427783543 2789368326 4855567086 7283350629 14566701258 21850051887 43700103774 65550155661 131100311322