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210000110100008 = 23293163754728461
BaseRepresentation
bin101111101111111001110101…
…111101110001111000101000
31000112112210222202000222012212
4233233321311331301320220
5210011120211141200013
62022344415130224252
762143002331551314
oct5757716575617050
91015483882028185
10210000110100008
1160a04601507108
121b677517b85088
139023c05186127
1439c00b9612b44
1519428b89ce6a8
hexbefe75f71e28

210000110100008 has 32 divisors (see below), whose sum is σ = 395335423533960. Its totient is φ = 104577768334080.

The previous prime is 210000110100007. The next prime is 210000110100019. The reversal of 210000110100008 is 800001011000012.

It can be written as a sum of positive squares in 4 ways, for example, as 209307456721444 + 692653378564 = 14467462^2 + 832258^2 .

It is a super-3 number, since 3×2100001101000083 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210000110099965 and 210000110100001.

It is not an unprimeable number, because it can be changed into a prime (210000110100007) 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 7 ways as a sum of consecutive naturals, for example, 23527103 + ... + 31201358.

Almost surely, 2210000110100008 is an apocalyptic number.

It is an amenable number.

210000110100008 is a deficient number, since it is larger than the sum of its proper divisors (185335313433952).

210000110100008 is a wasteful number, since it uses less digits than its factorization.

210000110100008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54730397 (or 54730393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 210000110100008 in words is "two hundred ten trillion, one hundred ten million, one hundred thousand, eight".

Divisors: 1 2 4 8 293 586 1172 1637 2344 3274 6548 13096 479641 959282 1918564 3837128 54728461 109456922 218913844 437827688 16035439073 32070878146 64141756292 89590490657 128283512584 179180981314 358361962628 716723925256 26250013762501 52500027525002 105000055050004 210000110100008