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102212020200 = 233521011686667
BaseRepresentation
bin101111100110001001…
…1111010011111101000
3100202211022221121111210
41133030103322133220
53133312234121300
6114542222153120
710245623556663
oct1371423723750
9322738847453
10102212020200
113a391025674
12179867227a0
13983bb8c334
144d38b4a6da
1529d352d050
hex17cc4fa7e8

102212020200 has 96 divisors (see below), whose sum is σ = 319994652960. Its totient is φ = 26986656000.

The previous prime is 102212020193. The next prime is 102212020213. The reversal of 102212020200 is 2020212201.

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, 782734 + ... + 903933.

It is an arithmetic number, because the mean of its divisors is an integer number (3333277635).

Almost surely, 2102212020200 is an apocalyptic number.

102212020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212020200 is an abundant number, since it is smaller than the sum of its proper divisors (217782632760).

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

102212020200 is a wasteful number, since it uses less digits than its factorization.

102212020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686787 (or 1686778 counting only the distinct ones).

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

Adding to 102212020200 its reverse (2020212201), we get a palindrome (104232232401).

The spelling of 102212020200 in words is "one hundred two billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 150 200 202 300 303 404 505 600 606 808 1010 1212 1515 2020 2424 2525 3030 4040 5050 6060 7575 10100 12120 15150 20200 30300 60600 1686667 3373334 5060001 6746668 8433335 10120002 13493336 16866670 20240004 25300005 33733340 40480008 42166675 50600010 67466680 84333350 101200020 126500025 168666700 170353367 202400040 253000050 337333400 340706734 506000100 511060101 681413468 851766835 1012000200 1022120202 1362826936 1703533670 2044240404 2555300505 3407067340 4088480808 4258834175 5110601010 6814134680 8517668350 10221202020 12776502525 17035336700 20442404040 25553005050 34070673400 51106010100 102212020200