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130342100 = 22527792357
BaseRepresentation
bin1111100010011…
…01110011010100
3100002021001202012
413301031303110
5231331421400
620533403352
73141614060
oct761156324
9302231665
10130342100
1167635a49
1237799558
1321008405
141344caa0
15b699d35
hex7c4dcd4

130342100 has 72 divisors (see below), whose sum is σ = 327479040. Its totient is φ = 44104320.

The previous prime is 130342099. The next prime is 130342117. The reversal of 130342100 is 1243031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 54122 + ... + 56478.

It is an arithmetic number, because the mean of its divisors is an integer number (4548320).

Almost surely, 2130342100 is an apocalyptic number.

130342100 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 130342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163739520).

130342100 is an abundant number, since it is smaller than the sum of its proper divisors (197136940).

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

130342100 is a wasteful number, since it uses less digits than its factorization.

130342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2450 counting only the distinct ones).

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

The square root of 130342100 is about 11416.7464717405. The cubic root of 130342100 is about 507.0236740174.

Adding to 130342100 its reverse (1243031), we get a palindrome (131585131).

The spelling of 130342100 in words is "one hundred thirty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2357 2765 3950 4714 5530 7900 9428 11060 11785 13825 16499 23570 27650 32998 47140 55300 58925 65996 82495 117850 164990 186203 235700 329980 372406 412475 744812 824950 931015 1303421 1649900 1862030 2606842 3724060 4655075 5213684 6517105 9310150 13034210 18620300 26068420 32585525 65171050 130342100