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110002331131 = 71126927119597
BaseRepresentation
bin110011001110010100…
…1100101110111111011
3101111221020210102002021
41212130221211313323
53300241044044011
6122311231415311
710642650246520
oct1463451456773
9344836712067
10110002331131
11427194a2570
121939b684537
13a4b0b34c84
14547762d147
152cdc408471
hex199ca65dfb

110002331131 has 32 divisors (see below), whose sum is σ = 138170603520. Its totient is φ = 85077993600.

The previous prime is 110002331129. The next prime is 110002331143. The reversal of 110002331131 is 131133200011.

It is a cyclic number.

It is not a de Polignac number, because 110002331131 - 21 = 110002331129 is a prime.

It is a super-2 number, since 2×1100023311312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110002331111) 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 31 ways as a sum of consecutive naturals, for example, 5603425 + ... + 5623021.

It is an arithmetic number, because the mean of its divisors is an integer number (4317831360).

Almost surely, 2110002331131 is an apocalyptic number.

110002331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110002331131 is a deficient number, since it is larger than the sum of its proper divisors (28168272389).

110002331131 is a wasteful number, since it uses less digits than its factorization.

110002331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20155.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110002331131 its reverse (131133200011), we get a palindrome (241135531142).

The spelling of 110002331131 in words is "one hundred ten billion, two million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 77 269 271 1883 1897 2959 2981 19597 20713 20867 72899 137179 215567 510293 801889 1508969 5271593 5310787 5613223 36901151 37175509 57987523 58418657 405912661 408930599 1428601703 10000211921 15714618733 110002331131