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1002011031231 = 37244332174783
BaseRepresentation
bin11101001010011001000…
…00101111011010111111
310112210100212112101201020
432211030200233122333
5112404104310444411
62044152325515223
7132251524143600
oct16451440573277
93483325471636
101002011031231
11356a50117481
12142243572b13
1373648b05c52
14366d7573da7
151b0e80a7606
hexe94c82f6bf

1002011031231 has 48 divisors (see below), whose sum is σ = 1558457731584. Its totient is φ = 570988244736.

The previous prime is 1002011031187. The next prime is 1002011031233. The reversal of 1002011031231 is 1321301102001.

It is a happy number.

It is not a de Polignac number, because 1002011031231 - 229 = 1001474160319 is a prime.

It is a super-2 number, since 2×10020110312312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002011031231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002011031233) 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 47 ways as a sum of consecutive naturals, for example, 209491866 + ... + 209496648.

It is an arithmetic number, because the mean of its divisors is an integer number (32467869408).

Almost surely, 21002011031231 is an apocalyptic number.

1002011031231 is a deficient number, since it is larger than the sum of its proper divisors (556446700353).

1002011031231 is a wasteful number, since it uses less digits than its factorization.

1002011031231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1002011031231 its reverse (1321301102001), we get a palindrome (2323312133232).

The spelling of 1002011031231 in words is "one trillion, two billion, eleven million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 7 21 49 147 443 1329 3101 3217 4783 9303 9651 14349 21707 22519 33481 65121 67557 100443 157633 234367 472899 703101 1425131 2118869 4275393 6356607 9975917 14832083 15386911 29927751 44496249 46160733 69831419 103824581 107708377 209494257 311473743 323125131 753958639 2261875917 6816401573 20449204719 47714811011 143144433033 334003677077 1002011031231