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102012222120 = 23351376205123
BaseRepresentation
bin101111100000001100…
…1101111101010101000
3100202022101222211001220
41133000121233222220
53132410112101440
6114510323542040
710240646403204
oct1370031575250
9322271884056
10102012222120
113a299270396
121792b82a920
139809675c13
144d1a3bbb04
1529c0c138d0
hex17c066faa8

102012222120 has 64 divisors (see below), whose sum is σ = 308270560320. Its totient is φ = 27004690944.

The previous prime is 102012222119. The next prime is 102012222149. The reversal of 102012222120 is 21222210201.

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 102012222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3086122 + ... + 3119001.

It is an arithmetic number, because the mean of its divisors is an integer number (4816727505).

Almost surely, 2102012222120 is an apocalyptic number.

102012222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012222120 is an abundant number, since it is smaller than the sum of its proper divisors (206258338200).

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

102012222120 is a wasteful number, since it uses less digits than its factorization.

102012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205274 (or 6205270 counting only the distinct ones).

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

Adding to 102012222120 its reverse (21222210201), we get a palindrome (123234432321).

The spelling of 102012222120 in words is "one hundred two billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 6205123 12410246 18615369 24820492 31025615 37230738 49640984 62051230 74461476 93076845 124102460 148922952 186153690 248204920 372307380 744614760 850101851 1700203702 2550305553 3400407404 4250509255 5100611106 6800814808 8501018510 10201222212 12751527765 17002037020 20402444424 25503055530 34004074040 51006111060 102012222120