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211310023131 = 3317894374677
BaseRepresentation
bin1100010011001100001…
…1110001000111011011
3202012102120002101112000
43010303003301013123
511430230331220011
6241024031052043
721160313363244
oct3046303610733
9665376071460
10211310023131
1181685aa9a59
1234b53371023
1316c0754385c
14a328213ccb
15576b352356
hex31330f11db

211310023131 has 16 divisors (see below), whose sum is σ = 313226944800. Its totient is φ = 140794572384.

The previous prime is 211310023091. The next prime is 211310023151. The reversal of 211310023131 is 131320013112.

211310023131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211310023131 - 27 = 211310023003 is a prime.

It is a super-2 number, since 2×2113100231312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211310023151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139036 + ... + 2235641.

It is an arithmetic number, because the mean of its divisors is an integer number (19576684050).

Almost surely, 2211310023131 is an apocalyptic number.

211310023131 is a deficient number, since it is larger than the sum of its proper divisors (101916921669).

211310023131 is a wasteful number, since it uses less digits than its factorization.

211310023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376475 (or 4376469 counting only the distinct ones).

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

Adding to 211310023131 its reverse (131320013112), we get a palindrome (342630036243).

The spelling of 211310023131 in words is "two hundred eleven billion, three hundred ten million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1789 5367 16101 48303 4374677 13124031 39372093 118116279 7826297153 23478891459 70436674377 211310023131