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1002314000331 = 3378216459499
BaseRepresentation
bin11101001010111101001…
…00011110011111001011
310112211010222121211012000
432211132210132133023
5112410214341002311
62044242351322043
7132262163300460
oct16453644363713
93484128554160
101002314000331
11357096139666
12142308b20323
13736968032c7
14367258bb667
151b1149a1056
hexe95e91e7cb

1002314000331 has 32 divisors (see below), whose sum is σ = 1699106880000. Its totient is φ = 572053142880.

The previous prime is 1002314000329. The next prime is 1002314000353. The reversal of 1002314000331 is 1330004132001.

1002314000331 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 400 + 0 + 3 + 31 = 666.

It is not a de Polignac number, because 1002314000331 - 21 = 1002314000329 is a prime.

It is a super-2 number, since 2×10023140003312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002314100331) 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, 3074581 + ... + 3384918.

It is an arithmetic number, because the mean of its divisors is an integer number (53097090000).

Almost surely, 21002314000331 is an apocalyptic number.

1002314000331 is a deficient number, since it is larger than the sum of its proper divisors (696792879669).

1002314000331 is an equidigital number, since it uses as much as digits as its factorization.

1002314000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6460336 (or 6460330 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002314000331 its reverse (1330004132001), we get a palindrome (2332318132332).

The spelling of 1002314000331 in words is "one trillion, two billion, three hundred fourteen million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 821 2463 5747 7389 17241 22167 51723 155169 6459499 19378497 45216493 58135491 135649479 174406473 406948437 1220845311 5303248679 15909746037 37122740753 47729238111 111368222259 143187714333 334104666777 1002314000331