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130810900 = 2252111091091
BaseRepresentation
bin1111100110000…
…00010000010100
3100010010212211011
413303000100110
5231441422100
620551422004
73145605613
oct763002024
9303125734
10130810900
1167926190
1237984904
13211408cc
141353187a
15b73dbba
hex7cc0414

130810900 has 72 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 47088000.

The previous prime is 130810871. The next prime is 130810907. The reversal of 130810900 is 9018031.

It is a super-2 number, since 2×1308109002 = 34222983117620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130810907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119355 + ... + 120445.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2130810900 is an apocalyptic number.

130810900 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 130810900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

130810900 is an abundant number, since it is smaller than the sum of its proper divisors (181981580).

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

130810900 is a wasteful number, since it uses less digits than its factorization.

130810900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 130810900 is about 11437.2592870845. The cubic root of 130810900 is about 507.6308155256.

Adding to 130810900 its reverse (9018031), we get a palindrome (139828931).

The spelling of 130810900 in words is "one hundred thirty million, eight hundred ten thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1091 1100 1199 2180 2182 2398 2725 4364 4796 5450 5455 5995 10900 10910 11990 12001 21820 23980 24002 27275 29975 48004 54550 59950 60005 109100 118919 119900 120010 237838 240020 300025 475676 594595 600050 1189190 1200100 1308109 2378380 2616218 2972975 5232436 5945950 6540545 11891900 13081090 26162180 32702725 65405450 130810900