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103012320020 = 225101921612339
BaseRepresentation
bin101111111110000000…
…0110100001100010100
3100211220002212001110212
41133330000310030110
53141432123220040
6115153451304552
710304512162421
oct1377400641424
9324802761425
10103012320020
113a761850785
1217b6a74b158
13993891881c
144db3152d48
152a2d913d65
hex17fc034314

103012320020 has 48 divisors (see below), whose sum is σ = 216730987200. Its totient is φ = 41127851520.

The previous prime is 103012320013. The next prime is 103012320023. The reversal of 103012320020 is 20023210301.

It is a happy number.

103012320020 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-2 number, since 2×1030123200202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103012319977 and 103012320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012320023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44040011 + ... + 44042349.

It is an arithmetic number, because the mean of its divisors is an integer number (4515228900).

Almost surely, 2103012320020 is an apocalyptic number.

103012320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012320020 is an abundant number, since it is smaller than the sum of its proper divisors (113718667180).

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

103012320020 is a wasteful number, since it uses less digits than its factorization.

103012320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103012320020 its reverse (20023210301), we get a palindrome (123035530321).

The spelling of 103012320020 in words is "one hundred three billion, twelve million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1019 2038 2161 2339 4076 4322 4678 5095 8644 9356 10190 10805 11695 20380 21610 23390 43220 46780 2202059 2383441 4404118 4766882 5054579 8808236 9533764 10109158 11010295 11917205 20218316 22020590 23834410 25272895 44041180 47668820 50545790 101091580 5150616001 10301232002 20602464004 25753080005 51506160010 103012320020