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131104414012334 = 2721579769872251
BaseRepresentation
bin11101110011110100100000…
…000001101001001110101110
3122012012110102000211010002212
4131303310200001221032232
5114141003314441343314
61142500311503050422
736420660412004600
oct3563644001511656
9565173360733085
10131104414012334
1138857084908aa4
1212854ab6ba0a12
13582012998b379
1424536b798b170
1510254d77eee3e
hex773d200693ae

131104414012334 has 48 divisors (see below), whose sum is σ = 230244749316720. Its totient is φ = 55823944176000.

The previous prime is 131104414012333. The next prime is 131104414012423. The reversal of 131104414012334 is 433210414401131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131104414012334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131104414012333) 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 23 ways as a sum of consecutive naturals, for example, 149869709 + ... + 150741959.

It is an arithmetic number, because the mean of its divisors is an integer number (4796765610765).

Almost surely, 2131104414012334 is an apocalyptic number.

131104414012334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131104414012334 is a deficient number, since it is larger than the sum of its proper divisors (99140335304386).

131104414012334 is a wasteful number, since it uses less digits than its factorization.

131104414012334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882193 (or 882186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131104414012334 its reverse (433210414401131), we get a palindrome (564314828413465).

The spelling of 131104414012334 in words is "one hundred thirty-one trillion, one hundred four billion, four hundred fourteen million, twelve thousand, three hundred thirty-four".

Divisors: 1 2 7 14 49 98 157 314 1099 2198 7693 9769 15386 19538 68383 136766 478681 872251 957362 1533733 1744502 3067466 6105757 10736131 12211514 21472262 42740299 75152917 85480598 136943407 150305834 273886814 958603849 1917207698 6710226943 8521020019 13420453886 17042040038 59647140133 119294280266 417529980931 835059961862 1337800142983 2675600285966 9364601000881 18729202001762 65552207006167 131104414012334