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102104024020 = 22517300305953
BaseRepresentation
bin101111100010111011…
…1111100001111010100
3100202112210201211121021
41133011313330033110
53133102112232040
6114523403330524
710243142612215
oct1370567741724
9322483654537
10102104024020
113a336072529
1217956520a44
1398226a907b
144d2867740c
1529c8ce924a
hex17c5dfc3d4

102104024020 has 24 divisors (see below), whose sum is σ = 227031301224. Its totient is φ = 38439161856.

The previous prime is 102104024017. The next prime is 102104024027. The reversal of 102104024020 is 20420401201.

It can be written as a sum of positive squares in 4 ways, for example, as 6082128144 + 96021895876 = 77988^2 + 309874^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102104023985 and 102104024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104024027) 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 7 ways as a sum of consecutive naturals, for example, 150152637 + ... + 150153316.

It is an arithmetic number, because the mean of its divisors is an integer number (9459637551).

Almost surely, 2102104024020 is an apocalyptic number.

102104024020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102104024020 is an abundant number, since it is smaller than the sum of its proper divisors (124927277204).

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

102104024020 is a wasteful number, since it uses less digits than its factorization.

102104024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300305979 (or 300305977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102104024020 its reverse (20420401201), we get a palindrome (122524425221).

The spelling of 102104024020 in words is "one hundred two billion, one hundred four million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 300305953 600611906 1201223812 1501529765 3003059530 5105201201 6006119060 10210402402 20420804804 25526006005 51052012010 102104024020