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1002011232131 = 72139411671643
BaseRepresentation
bin11101001010011001000…
…01100000011110000011
310112210100212220121021222
432211030201200132003
5112404104333412011
62044152334105255
7132251525641400
oct16451441403603
93483325817258
101002011232131
11356a50244408
1214224364b22b
1373648b76520
14366d75c72a7
151b0e80e6ddb
hexe94c860783

1002011232131 has 24 divisors (see below), whose sum is σ = 1256601541104. Its totient is φ = 791957113920.

The previous prime is 1002011232127. The next prime is 1002011232143. The reversal of 1002011232131 is 1312321102001.

It is not a de Polignac number, because 1002011232131 - 22 = 1002011232127 is a prime.

It is a super-2 number, since 2×10020112321312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002011232731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236405 + ... + 1435238.

It is an arithmetic number, because the mean of its divisors is an integer number (52358397546).

Almost surely, 21002011232131 is an apocalyptic number.

1002011232131 is a deficient number, since it is larger than the sum of its proper divisors (254590308973).

1002011232131 is a wasteful number, since it uses less digits than its factorization.

1002011232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672611 (or 1672604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1002011232131 its reverse (1312321102001), we get a palindrome (2314332334132).

The spelling of 1002011232131 in words is "one trillion, two billion, eleven million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 13 49 91 637 941 6587 12233 46109 85631 599417 1671643 11701501 21731359 81910507 152119513 1064836591 1573016063 11011112441 20449208819 77077787087 143144461733 1002011232131