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1002332311431 = 31131190321089
BaseRepresentation
bin11101001010111111010…
…10010100111110000111
310112211012021002010021220
432211133222110332013
5112410234032431211
62044244244011423
7132262505033553
oct16453752247607
93484167063256
101002332311431
113570a5506000
12142313090b73
137369a544a89
14367280c6863
151b1163bb806
hexe95fa94f87

1002332311431 has 32 divisors (see below), whose sum is σ = 1470180188160. Its totient is φ = 607394289920.

The previous prime is 1002332311369. The next prime is 1002332311441. The reversal of 1002332311431 is 1341132332001.

It is not a de Polignac number, because 1002332311431 - 26 = 1002332311367 is a prime.

It is a super-2 number, since 2×10023323114312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002332311441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47518135 + ... + 47539223.

It is an arithmetic number, because the mean of its divisors is an integer number (45943130880).

Almost surely, 21002332311431 is an apocalyptic number.

1002332311431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002332311431 is a deficient number, since it is larger than the sum of its proper divisors (467847876729).

1002332311431 is a wasteful number, since it uses less digits than its factorization.

1002332311431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33028 (or 33006 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1002332311431 its reverse (1341132332001), we get a palindrome (2343464643432).

The spelling of 1002332311431 in words is "one trillion, two billion, three hundred thirty-two million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 11 33 121 363 1331 3993 11903 21089 35709 63267 130933 231979 392799 695937 1440263 2551769 4320789 7655307 15842893 28069459 47528679 84208377 251022367 753067101 2761246037 8283738111 30373706407 91121119221 334110770477 1002332311431