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1131108374682 = 2351113172933013
BaseRepresentation
bin10000011101011011010…
…100000001100010011010
311000010120212221221100000
4100131123110001202122
5122013002220442212
62223342441553430
7144501630356316
oct20353324014232
94003525857300
101131108374682
113a677820a360
12163271aa5876
1382880993b80
143ca62bd0b46
151e651a671dc
hex1075b50189a

1131108374682 has 384 divisors, whose sum is σ = 3270572847360. Its totient is φ = 287505469440.

The previous prime is 1131108374677. The next prime is 1131108374687. The reversal of 1131108374682 is 2864738011311.

1131108374682 is a `hidden beast` number, since 113 + 1 + 108 + 374 + 68 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1131108374677) and next prime (1131108374687).

It is a super-2 number, since 2×11311083746822 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131108374687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34246008 + ... + 34279020.

It is an arithmetic number, because the mean of its divisors is an integer number (8517116790).

Almost surely, 21131108374682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131108374682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635286423680).

1131108374682 is an abundant number, since it is smaller than the sum of its proper divisors (2139464472678).

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

1131108374682 is a wasteful number, since it uses less digits than its factorization.

1131108374682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33100 (or 33088 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1131108374682 in words is "one trillion, one hundred thirty-one billion, one hundred eight million, three hundred seventy-four thousand, six hundred eighty-two".