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102220230132 = 22323119130067
BaseRepresentation
bin101111100110011001…
…1001110110111110100
3100202211220101201102100
41133030303032313310
53133321334331012
6114543114142100
710246053422436
oct1371463166764
9322756351370
10102220230132
113a395722939
1217989421930
1398407a5197
144d39c86656
1529d41008dc
hex17ccccedf4

102220230132 has 36 divisors (see below), whose sum is σ = 259220890656. Its totient is φ = 33963845520.

The previous prime is 102220230131. The next prime is 102220230181. The reversal of 102220230132 is 231032022201.

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 (102220230131) 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, 4553838 + ... + 4576229.

It is an arithmetic number, because the mean of its divisors is an integer number (7200580296).

Almost surely, 2102220230132 is an apocalyptic number.

102220230132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220230132 is an abundant number, since it is smaller than the sum of its proper divisors (157000660524).

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

102220230132 is a wasteful number, since it uses less digits than its factorization.

102220230132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130388 (or 9130383 counting only the distinct ones).

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

Adding to 102220230132 its reverse (231032022201), we get a palindrome (333252252333).

The spelling of 102220230132 in words is "one hundred two billion, two hundred twenty million, two hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 311 622 933 1244 1866 2799 3732 5598 11196 9130067 18260134 27390201 36520268 54780402 82170603 109560804 164341206 328682412 2839450837 5678901674 8518352511 11357803348 17036705022 25555057533 34073410044 51110115066 102220230132