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1002111112331 = 77917443103889
BaseRepresentation
bin11101001010100100111…
…10100001010010001011
310112210121211212001011122
432211102132201102023
5112404310421043311
62044210302545455
7132254150624330
oct16452236412213
93483554761148
101002111112331
11356aa166392a
12142270b9828b
1373663777634
1436706986987
151b101c760db
hexe9527a148b

1002111112331 has 16 divisors (see below), whose sum is σ = 1159844582400. Its totient is φ = 848022784128.

The previous prime is 1002111112309. The next prime is 1002111112397. The reversal of 1002111112331 is 1332111112001.

It is a cyclic number.

It is not a de Polignac number, because 1002111112331 - 26 = 1002111112267 is a prime.

It is a super-2 number, since 2×10021111123312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002111112231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9594035 + ... + 9697923.

It is an arithmetic number, because the mean of its divisors is an integer number (72490286400).

Almost surely, 21002111112331 is an apocalyptic number.

1002111112331 is a deficient number, since it is larger than the sum of its proper divisors (157733470069).

1002111112331 is a wasteful number, since it uses less digits than its factorization.

1002111112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121418.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1002111112331 its reverse (1332111112001), we get a palindrome (2334222224332).

The spelling of 1002111112331 in words is "one trillion, two billion, one hundred eleven million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 79 553 17443 103889 122101 727223 1377997 8207231 9645979 57450617 1812135827 12684950789 143158730333 1002111112331