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211312313121 = 37131367566231
BaseRepresentation
bin1100010011001100110…
…0100000001100100001
3202012102201101201210110
43010303030200030201
511430231423004441
6241024152121533
721160342011510
oct3046314401441
9665381351713
10211312313121
1181687323508
1234b540962a9
1316c07b65c90
14a32864c677
15576b655b16
hex3133320321

211312313121 has 32 divisors (see below), whose sum is σ = 347023208448. Its totient is φ = 111379705920.

The previous prime is 211312313063. The next prime is 211312313269. The reversal of 211312313121 is 121313213112.

It is not a de Polignac number, because 211312313121 - 218 = 211312050977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (211312313021) 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, 90076 + ... + 656306.

It is an arithmetic number, because the mean of its divisors is an integer number (10844475264).

Almost surely, 2211312313121 is an apocalyptic number.

211312313121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211312313121 is a deficient number, since it is larger than the sum of its proper divisors (135710895327).

211312313121 is a wasteful number, since it uses less digits than its factorization.

211312313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567621.

The product of its digits is 216, while the sum is 21.

Adding to 211312313121 its reverse (121313213112), we get a palindrome (332625526233).

The spelling of 211312313121 in words is "two hundred eleven billion, three hundred twelve million, three hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 1367 4101 9569 17771 28707 53313 124397 373191 566231 1698693 3963617 7361003 11890851 22083009 51527021 154581063 774037777 2322113331 5418264439 10062491101 16254793317 30187473303 70437437707 211312313121