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10098918810 = 234512467801
BaseRepresentation
bin10010110011111000…
…10100010110011010
3222001210220020020000
421121330110112122
5131140310400220
64350034513430
7505155251661
oct113174242632
928053806200
1010098918810
1143126381a2
121b5a135876
13c4c342b06
146bb351dd8
153e18ec390
hex259f1459a

10098918810 has 40 divisors (see below), whose sum is σ = 27154872756. Its totient is φ = 2693044800.

The previous prime is 10098918757. The next prime is 10098918857. The reversal of 10098918810 is 1881989001.

10098918810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8658488601 + 1440430209 = 93051^2 + 37953^2 .

It is a super-2 number, since 2×100989188102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6233091 + ... + 6234710.

Almost surely, 210098918810 is an apocalyptic number.

10098918810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10098918810 is an abundant number, since it is smaller than the sum of its proper divisors (17055953946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10098918810 is a wasteful number, since it uses less digits than its factorization.

10098918810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467820 (or 12467811 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

The spelling of 10098918810 in words is "ten billion, ninety-eight million, nine hundred eighteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 12467801 24935602 37403403 62339005 74806806 112210209 124678010 187017015 224420418 336630627 374034030 561051045 673261254 1009891881 1122102090 1683153135 2019783762 3366306270 5049459405 10098918810