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102021002212200 = 23352811209660917
BaseRepresentation
bin10111001100100110011101…
…100110001011001101101000
3111101020010001001112022011220
4113030212131212023031220
5101333003003031242300
61000551445034022040
730326526353410551
oct2714463546131550
9441203031468156
10102021002212200
112a563956080925
12b53842b277920
1344c07018b7cc6
141b29bb2b0d328
15bbdc014d4da0
hex5cc99d98b368

102021002212200 has 96 divisors (see below), whose sum is σ = 316655077673760. Its totient is φ = 27172054713600.

The previous prime is 102021002212153. The next prime is 102021002212229. The reversal of 102021002212200 is 2212200120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102021002212200.

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, 104343859 + ... + 105317058.

It is an arithmetic number, because the mean of its divisors is an integer number (3298490392435).

Almost surely, 2102021002212200 is an apocalyptic number.

102021002212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021002212200 is an abundant number, since it is smaller than the sum of its proper divisors (214634075461560).

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

102021002212200 is a wasteful number, since it uses less digits than its factorization.

102021002212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209661747 (or 209661738 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102021002212200 its reverse (2212200120201), we get a palindrome (104233202332401).

The spelling of 102021002212200 in words is "one hundred two trillion, twenty-one billion, two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 811 1622 2433 3244 4055 4866 6488 8110 9732 12165 16220 19464 20275 24330 32440 40550 48660 60825 81100 97320 121650 162200 243300 486600 209660917 419321834 628982751 838643668 1048304585 1257965502 1677287336 2096609170 2515931004 3144913755 4193218340 5031862008 5241522925 6289827510 8386436680 10483045850 12579655020 15724568775 20966091700 25159310040 31449137550 41932183400 62898275100 125796550200 170035003687 340070007374 510105011061 680140014748 850175018435 1020210022122 1360280029496 1700350036870 2040420044244 2550525055305 3400700073740 4080840088488 4250875092175 5101050110610 6801400147480 8501750184350 10202100221220 12752625276525 17003500368700 20404200442440 25505250553050 34007000737400 51010501106100 102021002212200