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212086000921 = 17457186114669
BaseRepresentation
bin1100010110000101001…
…1111000110100011001
3202021102122020010221011
43011201103320310121
511433323004012141
6241233031013521
721215455156204
oct3054123706431
9667378203834
10212086000921
1181a44022613
123512b20a2a1
1316ccc235602
14a39d2c893b
1557b4531881
hex31614f8d19

212086000921 has 16 divisors (see below), whose sum is σ = 225189311760. Its totient is φ = 199052974080.

The previous prime is 212086000913. The next prime is 212086000937. The reversal of 212086000921 is 129000680212.

It can be written as a sum of positive squares in 8 ways, for example, as 518199696 + 211567801225 = 22764^2 + 459965^2 .

It is a cyclic number.

It is not a de Polignac number, because 212086000921 - 23 = 212086000913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212086000981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14450775 + ... + 14465443.

It is an arithmetic number, because the mean of its divisors is an integer number (14074331985).

Almost surely, 2212086000921 is an apocalyptic number.

It is an amenable number.

212086000921 is a deficient number, since it is larger than the sum of its proper divisors (13103310839).

212086000921 is a wasteful number, since it uses less digits than its factorization.

With its successor (212086000922) it forms an eRAP, since the sums of their prime factors are consecutive (17004 and 17005).

212086000921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17004.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 212086000921 in words is "two hundred twelve billion, eighty-six million, nine hundred twenty-one", and thus it is an aban number.

Divisors: 1 17 457 1861 7769 14669 31637 249373 850477 6703733 14458109 27299009 113963461 464083153 12475647113 212086000921