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102021000200 = 23527431694701
BaseRepresentation
bin101111100000011101…
…1001110110000001000
3100202100000111210022222
41133000323032300020
53132414334001300
6114511240033212
710241114123240
oct1370073166010
9322300453288
10102021000200
113a2a32164a9
1217932762808
13980b42a552
144d1b624b20
1529c1899785
hex17c0ecec08

102021000200 has 96 divisors (see below), whose sum is σ = 277388823360. Its totient is φ = 34165152000.

The previous prime is 102021000161. The next prime is 102021000209. The reversal of 102021000200 is 2000120201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102021000209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 787151 + ... + 907550.

It is an arithmetic number, because the mean of its divisors is an integer number (2889466910).

Almost surely, 2102021000200 is an apocalyptic number.

102021000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021000200 is an abundant number, since it is smaller than the sum of its proper divisors (175367823160).

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

102021000200 is a wasteful number, since it uses less digits than its factorization.

102021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694767 (or 1694758 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102021000200 its reverse (2000120201), we get a palindrome (104021120401).

The spelling of 102021000200 in words is "one hundred two billion, twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 140 172 175 200 215 280 301 344 350 430 602 700 860 1075 1204 1400 1505 1720 2150 2408 3010 4300 6020 7525 8600 12040 15050 30100 60200 1694701 3389402 6778804 8473505 11862907 13557608 16947010 23725814 33894020 42367525 47451628 59314535 67788040 72872143 84735050 94903256 118629070 145744286 169470100 237258140 291488572 296572675 338940200 364360715 474516280 510105001 582977144 593145350 728721430 1020210002 1186290700 1457442860 1821803575 2040420004 2372581400 2550525005 2914885720 3643607150 4080840008 5101050010 7287214300 10202100020 12752625025 14574428600 20404200040 25505250050 51010500100 102021000200