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2111130002331 = 3271091312346803
BaseRepresentation
bin11110101110001001001…
…001110110001110011011
321110211012021112220010100
4132232021021312032123
5234042043240033311
64253501214350443
7305344524636660
oct36561111661633
97424167486110
102111130002331
11744363938419
122a11991bb423
13124103bb7cbc
1474271b81a67
1539dae3d5a56
hex1eb8927639b

2111130002331 has 48 divisors (see below), whose sum is σ = 3543861784320. Its totient is φ = 1186167602880.

The previous prime is 2111130002279. The next prime is 2111130002369. The reversal of 2111130002331 is 1332000311112.

2111130002331 is a `hidden beast` number, since 21 + 1 + 11 + 300 + 0 + 2 + 331 = 666.

It is not a de Polignac number, because 2111130002331 - 221 = 2111127905179 is a prime.

It is a super-2 number, since 2×21111300023312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2111130002131) 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, 273825 + ... + 2072978.

It is an arithmetic number, because the mean of its divisors is an integer number (73830453840).

Almost surely, 22111130002331 is an apocalyptic number.

2111130002331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2111130002331 is a deficient number, since it is larger than the sum of its proper divisors (1432731781989).

2111130002331 is a wasteful number, since it uses less digits than its factorization.

2111130002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347056 (or 2347053 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2111130002331 its reverse (1332000311112), we get a palindrome (3443130313443).

The spelling of 2111130002331 in words is "two trillion, one hundred eleven billion, one hundred thirty million, two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 109 131 327 393 763 917 981 1179 2289 2751 6867 8253 14279 42837 99953 128511 299859 899577 2346803 7040409 16427621 21121227 49282863 147848589 255801527 307431193 767404581 922293579 1790610689 2152018351 2302213743 2766880737 5371832067 6456055053 16115496201 19368165159 33510000037 100530000111 234570000259 301590000333 703710000777 2111130002331