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11031753096 = 233371319109271
BaseRepresentation
bin10100100011000101…
…10011000110001000
31001110211012010022000
422101202303012020
5140043112044341
65022400431000
7540243232320
oct122142630610
931424163260
1011031753096
114751156421
12217a618460
13106a694570
147691b8280
154487628b6
hex2918b3188

11031753096 has 512 divisors, whose sum is σ = 40212480000. Its totient is φ = 2720977920.

The previous prime is 11031753079. The next prime is 11031753113. The reversal of 11031753096 is 69035713011.

11031753096 is a `hidden beast` number, since 1 + 1 + 0 + 31 + 7 + 530 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (11031753079) and next prime (11031753113).

It is a super-2 number, since 2×110317530962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11031753096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40707441 + ... + 40707711.

It is an arithmetic number, because the mean of its divisors is an integer number (78540000).

Almost surely, 211031753096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031753096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20106240000).

11031753096 is an abundant number, since it is smaller than the sum of its proper divisors (29180726904).

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

11031753096 is a wasteful number, since it uses less digits than its factorization.

11031753096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 11031753096 in words is "eleven billion, thirty-one million, seven hundred fifty-three thousand, ninety-six".