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102202020200 = 23527411780523
BaseRepresentation
bin101111100101110110…
…1110001000101101000
3100202210122010120002102
41133023231301011220
53133302204121300
6114541223552532
710245442560320
oct1371355610550
9322718116072
10102202020200
113a386415505
12179832bb748
139839a9a787
144d376a6280
1529d27050d5
hex17cbb71168

102202020200 has 96 divisors (see below), whose sum is σ = 278189069760. Its totient is φ = 34186022400.

The previous prime is 102202020127. The next prime is 102202020223. The reversal of 102202020200 is 2020202201.

It is a super-2 number, since 2×1022020202002 (a number of 23 digits) contains 22 as substring.

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, 832862 + ... + 947661.

It is an arithmetic number, because the mean of its divisors is an integer number (2897802810).

Almost surely, 2102202020200 is an apocalyptic number.

102202020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202020200 is an abundant number, since it is smaller than the sum of its proper divisors (175987049560).

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

102202020200 is a wasteful number, since it uses less digits than its factorization.

102202020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780587 (or 1780578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 102202020200 its reverse (2020202201), we get a palindrome (104222222401).

The spelling of 102202020200 in words is "one hundred two billion, two hundred two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 57400 1780523 3561046 7122092 8902615 12463661 14244184 17805230 24927322 35610460 44513075 49854644 62318305 71220920 73001443 89026150 99709288 124636610 146002886 178052300 249273220 292005772 311591525 356104600 365007215 498546440 511010101 584011544 623183050 730014430 1022020202 1246366100 1460028860 1825036075 2044040404 2492732200 2555050505 2920057720 3650072150 4088080808 5110101010 7300144300 10220202020 12775252525 14600288600 20440404040 25550505050 51101010100 102202020200