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102312232032 = 25316713214831
BaseRepresentation
bin101111101001001001…
…0001100010001100000
3100210002022111220022010
41133102102030101200
53134013412411112
6115000202112520
710251251423523
oct1372222142140
9323068456263
10102312232032
113a43265126a
12179b41ab740
13985687838a
144d48194bba
1529dc22563c
hex17d248c460

102312232032 has 96 divisors (see below), whose sum is σ = 270438303744. Its totient is φ = 33867187200.

The previous prime is 102312232021. The next prime is 102312232037. The reversal of 102312232032 is 230232213201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312232037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21175857 + ... + 21180687.

It is an arithmetic number, because the mean of its divisors is an integer number (2817065664).

Almost surely, 2102312232032 is an apocalyptic number.

102312232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102312232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135219151872).

102312232032 is an abundant number, since it is smaller than the sum of its proper divisors (168126071712).

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

102312232032 is a wasteful number, since it uses less digits than its factorization.

102312232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102312232032 its reverse (230232213201), we get a palindrome (332544445233).

The spelling of 102312232032 in words is "one hundred two billion, three hundred twelve million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1321 1336 2004 2642 2672 3963 4008 4831 5284 5344 7926 8016 9662 10568 14493 15852 16032 19324 21136 28986 31704 38648 42272 57972 63408 77296 115944 126816 154592 220607 231888 441214 463776 661821 806777 882428 1323642 1613554 1764856 2420331 2647284 3227108 3529712 4840662 5294568 6381751 6454216 7059424 9681324 10589136 12763502 12908432 19145253 19362648 21178272 25527004 25816864 38290506 38725296 51054008 76581012 77450592 102108016 153162024 204216032 306324048 612648096 1065752417 2131504834 3197257251 4263009668 6394514502 8526019336 12789029004 17052038672 25578058008 34104077344 51156116016 102312232032