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102210113000 = 2353909111243
BaseRepresentation
bin101111100110000110…
…0101000110111101000
3100202211012100201022202
41133030030220313220
53133311242104000
6114542113235332
710245601424432
oct1371414506750
9322735321282
10102210113000
113a38aa42776
1217985b62b48
13983b672208
144d387b1652
1529d32a2dd5
hex17cc328de8

102210113000 has 64 divisors (see below), whose sum is σ = 239219248320. Its totient is φ = 40875912000.

The previous prime is 102210112987. The next prime is 102210113063. The reversal of 102210113000 is 311012201.

It is a super-3 number, since 3×1022101130003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9085379 + ... + 9096621.

It is an arithmetic number, because the mean of its divisors is an integer number (3737800755).

Almost surely, 2102210113000 is an apocalyptic number.

102210113000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210113000 is an abundant number, since it is smaller than the sum of its proper divisors (137009135320).

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

102210113000 is a wasteful number, since it uses less digits than its factorization.

102210113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20355 (or 20341 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102210113000 its reverse (311012201), we get a palindrome (102521125201).

The spelling of 102210113000 in words is "one hundred two billion, two hundred ten million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 9091 11243 18182 22486 36364 44972 45455 56215 72728 89944 90910 112430 181820 224860 227275 281075 363640 449720 454550 562150 909100 1124300 1136375 1405375 1818200 2248600 2272750 2810750 4545500 5621500 9091000 11243000 102210113 204420226 408840452 511050565 817680904 1022101130 2044202260 2555252825 4088404520 5110505650 10221011300 12776264125 20442022600 25552528250 51105056500 102210113000