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102323201220 = 22325568462229
BaseRepresentation
bin101111101001011110…
…0000010010011000100
3100210010002011012012100
41133102330002103010
53134024214414340
6115001233152100
710251443600622
oct1372274022304
9323102135170
10102323201220
113a438863609
12179b79bb630
139858c19116
144d4980c512
1529dd190830
hex17d2f024c4

102323201220 has 36 divisors (see below), whose sum is σ = 310380377580. Its totient is φ = 27286186944.

The previous prime is 102323201207. The next prime is 102323201249. The reversal of 102323201220 is 22102323201.

102323201220 is a `hidden beast` number, since 10 + 232 + 3 + 201 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16605415044 + 85717786176 = 128862^2 + 292776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102323201193 and 102323201202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284230935 + ... + 284231294.

It is an arithmetic number, because the mean of its divisors is an integer number (8621677155).

Almost surely, 2102323201220 is an apocalyptic number.

102323201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102323201220 is an abundant number, since it is smaller than the sum of its proper divisors (208057176360).

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

102323201220 is a wasteful number, since it uses less digits than its factorization.

102323201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568462244 (or 568462239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102323201220 its reverse (22102323201), we get a palindrome (124425524421).

The spelling of 102323201220 in words is "one hundred two billion, three hundred twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 568462229 1136924458 1705386687 2273848916 2842311145 3410773374 5116160061 5684622290 6821546748 8526933435 10232320122 11369244580 17053866870 20464640244 25580800305 34107733740 51161600610 102323201220