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210000212120313 = 32231201844707559
BaseRepresentation
bin101111101111111001111100…
…000010111101001011111001
31000112112211020212000010202200
4233233321330002331023321
5210011120413300322223
62022344433213020413
762143005010656516
oct5757717402751371
91015484225003680
10210000212120313
1160a0465405850a
121b677546184709
139023c20356384
1439c00c8dac30d
1519428c2932a43
hexbefe7c0bd2f9

210000212120313 has 24 divisors (see below), whose sum is σ = 316785607981440. Its totient is φ = 133801677187200.

The previous prime is 210000212120297. The next prime is 210000212120357. The reversal of 210000212120313 is 313021212000012.

210000212120313 is a `hidden beast` number, since 21 + 0 + 0 + 0 + 0 + 212 + 120 + 313 = 666.

It is not a de Polignac number, because 210000212120313 - 24 = 210000212120297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (210000212120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422105173 + ... + 422602386.

It is an arithmetic number, because the mean of its divisors is an integer number (13199400332560).

Almost surely, 2210000212120313 is an apocalyptic number.

210000212120313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

210000212120313 is a deficient number, since it is larger than the sum of its proper divisors (106785395861127).

210000212120313 is a wasteful number, since it uses less digits than its factorization.

210000212120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844708789 (or 844708786 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 210000212120313 its reverse (313021212000012), we get a palindrome (523021424120325).

The spelling of 210000212120313 in words is "two hundred ten trillion, two hundred twelve million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 23 69 207 1201 3603 10809 27623 82869 248607 844707559 2534122677 7602368031 19428273857 58284821571 174854464713 1014493778359 3043481335077 9130444005231 23333356902257 70000070706771 210000212120313