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102221200200 = 23352724338381
BaseRepresentation
bin101111100110011011…
…0111011101101001000
3100202211222020000002210
41133030312323231020
53133322111401300
6114543151025120
710246064602560
oct1371466735510
9322758200083
10102221200200
113a396225749
121798980b1a0
139840a548a2
144d3a059da0
1529d4243050
hex17ccdbbb48

102221200200 has 96 divisors (see below), whose sum is σ = 362155124160. Its totient is φ = 23364844800.

The previous prime is 102221200189. The next prime is 102221200219. The reversal of 102221200200 is 2002122201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12164991 + ... + 12173390.

It is an arithmetic number, because the mean of its divisors is an integer number (3772449210).

Almost surely, 2102221200200 is an apocalyptic number.

102221200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221200200 is an abundant number, since it is smaller than the sum of its proper divisors (259933923960).

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

102221200200 is a wasteful number, since it uses less digits than its factorization.

102221200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24338407 (or 24338398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102221200200 its reverse (2002122201), we get a palindrome (104223322401).

The spelling of 102221200200 in words is "one hundred two billion, two hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 24338381 48676762 73015143 97353524 121691905 146030286 170368667 194707048 243383810 292060572 340737334 365075715 486767620 511106001 584121144 608459525 681474668 730151430 851843335 973535240 1022212002 1216919050 1362949336 1460302860 1703686670 1825378575 2044424004 2433838100 2555530005 2920605720 3407373340 3650757150 4088848008 4259216675 4867676200 5111060010 6814746680 7301514300 8518433350 10222120020 12777650025 14603028600 17036866700 20444240040 25555300050 34073733400 51110600100 102221200200