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1003112332131 = 37133674404147
BaseRepresentation
bin11101001100011100010…
…01110111101101100011
310112220012121211021112110
432212032021313231203
5112413333224112011
62044453510330403
7132321026065440
oct16461611675543
93486177737473
101003112332131
11357465840108
121424b0359a03
1373793020aa0
143679d9309c7
151b15eae8ba6
hexe98e277b63

1003112332131 has 16 divisors (see below), whose sum is σ = 1646133058304. Its totient is φ = 529114197024.

The previous prime is 1003112332129. The next prime is 1003112332139. The reversal of 1003112332131 is 1312332113001.

It is a happy number.

It is not a de Polignac number, because 1003112332131 - 21 = 1003112332129 is a prime.

It is a super-2 number, since 2×10031123321312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1003112332098 and 1003112332107.

It is not an unprimeable number, because it can be changed into a prime (1003112332139) 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 15 ways as a sum of consecutive naturals, for example, 1837201801 + ... + 1837202346.

It is an arithmetic number, because the mean of its divisors is an integer number (102883316144).

Almost surely, 21003112332131 is an apocalyptic number.

1003112332131 is a deficient number, since it is larger than the sum of its proper divisors (643020726173).

1003112332131 is a wasteful number, since it uses less digits than its factorization.

1003112332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674404170.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1003112332131 its reverse (1312332113001), we get a palindrome (2315444445132).

The spelling of 1003112332131 in words is "one trillion, three billion, one hundred twelve million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 3674404147 11023212441 25720829029 47767253911 77162487087 143301761733 334370777377 1003112332131