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103020313100 = 225210136727793
BaseRepresentation
bin101111111110001111…
…1010011101000001100
3100211220122220010220212
41133330133103220030
53141441200004400
6115154334501552
710304640133025
oct1377437235014
9324818803825
10103020313100
113a766310031
1217b713648b8
13993a486a63
144db4233c4c
152a2e492335
hex17fc7d3a0c

103020313100 has 72 divisors (see below), whose sum is σ = 226390801728. Its totient is φ = 40687488000.

The previous prime is 103020313091. The next prime is 103020313141. The reversal of 103020313100 is 1313020301.

It is a super-2 number, since 2×1030203131002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3692804 + ... + 3720596.

Almost surely, 2103020313100 is an apocalyptic number.

103020313100 is a gapful number since it is divisible by the number (10) 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 103020313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113195400864).

103020313100 is an abundant number, since it is smaller than the sum of its proper divisors (123370488628).

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

103020313100 is a wasteful number, since it uses less digits than its factorization.

103020313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28275 (or 28268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 103020313100 its reverse (1313020301), we get a palindrome (104333333401).

The spelling of 103020313100 in words is "one hundred three billion, twenty million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 367 404 505 734 1010 1468 1835 2020 2525 3670 5050 7340 9175 10100 18350 27793 36700 37067 55586 74134 111172 138965 148268 185335 277930 370670 555860 694825 741340 926675 1389650 1853350 2779300 2807093 3706700 5614186 10200031 11228372 14035465 20400062 28070930 40800124 51000155 56141860 70177325 102000310 140354650 204000620 255000775 280709300 510001550 1020003100 1030203131 2060406262 4120812524 5151015655 10302031310 20604062620 25755078275 51510156550 103020313100