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1002332101131 = 3337123411153
BaseRepresentation
bin11101001010111111010…
…01100001101000001011
310112211012020200102211000
432211133221201220023
5112410234004214011
62044244235310043
7132262503166464
oct16453751415013
93484166612730
101002332101131
113570a5381aa9
12142312bab323
137369a4a013a
143672806dd6b
151b116379356
hexe95fa61a0b

1002332101131 has 8 divisors (see below), whose sum is σ = 1484936446160. Its totient is φ = 668221400736.

The previous prime is 1002332101117. The next prime is 1002332101153. The reversal of 1002332101131 is 1311012332001.

1002332101131 is a `hidden beast` number, since 100 + 2 + 332 + 101 + 131 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1002332101131 is a prime.

It is a super-2 number, since 2×10023321011312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002332101171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18561705550 + ... + 18561705603.

It is an arithmetic number, because the mean of its divisors is an integer number (185617055770).

Almost surely, 21002332101131 is an apocalyptic number.

1002332101131 is a deficient number, since it is larger than the sum of its proper divisors (482604345029).

1002332101131 is an equidigital number, since it uses as much as digits as its factorization.

1002332101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37123411162 (or 37123411156 counting only the distinct ones).

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

Adding to 1002332101131 its reverse (1311012332001), we get a palindrome (2313344433132).

The spelling of 1002332101131 in words is "one trillion, two billion, three hundred thirty-two million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 37123411153 111370233459 334110700377 1002332101131