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102112230132 = 223211257859167
BaseRepresentation
bin101111100011001011…
…1001111101011110100
3100202120101011202021100
41133012113033223310
53133111212331012
6114524255250100
710243302430563
oct1370627175364
9322511152240
10102112230132
113a33a767940
1217959219930
1398242c0263
144d297b1bda
1529c98ba8dc
hex17c65cfaf4

102112230132 has 36 divisors (see below), whose sum is σ = 281582211456. Its totient is φ = 30943099920.

The previous prime is 102112230097. The next prime is 102112230133. The reversal of 102112230132 is 231032211201.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112230133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128929188 + ... + 128929979.

It is an arithmetic number, because the mean of its divisors is an integer number (7821728096).

Almost surely, 2102112230132 is an apocalyptic number.

102112230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112230132 is an abundant number, since it is smaller than the sum of its proper divisors (179469981324).

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

102112230132 is a wasteful number, since it uses less digits than its factorization.

102112230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257859188 (or 257859183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102112230132 its reverse (231032211201), we get a palindrome (333144441333).

The spelling of 102112230132 in words is "one hundred two billion, one hundred twelve million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 257859167 515718334 773577501 1031436668 1547155002 2320732503 2836450837 3094310004 4641465006 5672901674 8509352511 9282930012 11345803348 17018705022 25528057533 34037410044 51056115066 102112230132