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102114241332 = 22341311667361
BaseRepresentation
bin101111100011001111…
…0111010101100110100
3100202120111221221010020
41133012132322230310
53133112221210312
6114524410325140
710243325505255
oct1370636725464
9322514857106
10102114241332
113a340910994
1217959a297b0
13982484580c
144d29b76b2c
1529c9b6678c
hex17c67bab34

102114241332 has 48 divisors (see below), whose sum is σ = 244863126144. Its totient is φ = 33101056000.

The previous prime is 102114241331. The next prime is 102114241363. The reversal of 102114241332 is 233142411201.

102114241332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1021142413323 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102114241331) 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, 180669 + ... + 486692.

It is an arithmetic number, because the mean of its divisors is an integer number (5101315128).

Almost surely, 2102114241332 is an apocalyptic number.

102114241332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102114241332 is an abundant number, since it is smaller than the sum of its proper divisors (142748884812).

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

102114241332 is a wasteful number, since it uses less digits than its factorization.

102114241332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667720 (or 667718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102114241332 its reverse (233142411201), we get a palindrome (335256652533).

The spelling of 102114241332 in words is "one hundred two billion, one hundred fourteen million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 311 492 622 933 1244 1866 3732 12751 25502 38253 51004 76506 153012 667361 1334722 2002083 2669444 4004166 8008332 27361801 54723602 82085403 109447204 164170806 207549271 328341612 415098542 622647813 830197084 1245295626 2490591252 8509520111 17019040222 25528560333 34038080444 51057120666 102114241332