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100131110003322 = 23237150347012017
BaseRepresentation
bin10110110001000110010111…
…001111100010001001111010
3111010112102220012220210012200
4112301012113033202021322
5101111022003130101242
6552543332533051030
730043143151605006
oct2661062717421172
9433472805823180
10100131110003322
11299a5402203222
12b2920b6186a76
1343b4427c91678
141aa252b8a1706
15b8998ece304c
hex5b11973e227a

100131110003322 has 24 divisors (see below), whose sum is σ = 222814271810676. Its totient is φ = 32474954595456.

The previous prime is 100131110003273. The next prime is 100131110003333. The reversal of 100131110003322 is 223300011131001.

100131110003322 is a `hidden beast` number, since 10 + 0 + 1 + 311 + 10 + 0 + 0 + 332 + 2 = 666.

100131110003322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95898128832081 + 4232981171241 = 9792759^2 + 2057421^2 .

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 = 100131110003295 and 100131110003304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75173505343 + ... + 75173506674.

Almost surely, 2100131110003322 is an apocalyptic number.

100131110003322 is an abundant number, since it is smaller than the sum of its proper divisors (122683161807354).

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

100131110003322 is a wasteful number, since it uses less digits than its factorization.

100131110003322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150347012062 (or 150347012059 counting only the distinct ones).

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

Adding to 100131110003322 its reverse (223300011131001), we get a palindrome (323431121134323).

The spelling of 100131110003322 in words is "one hundred trillion, one hundred thirty-one billion, one hundred ten million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 150347012017 300694024034 451041036051 902082072102 1353123108153 2706246216306 5562839444629 11125678889258 16688518333887 33377036667774 50065555001661 100131110003322