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100130130 = 23257914083
BaseRepresentation
bin1011111011111…
…01110101010010
320222102010201100
411331331311102
5201113131010
613534045230
72324043402
oct575756522
9228363640
10100130130
1151580281
1229649816
131798aac9
14d426802
158bcd2c0
hex5f7dd52

100130130 has 48 divisors (see below), whose sum is σ = 263652480. Its totient is φ = 26361504.

The previous prime is 100130123. The next prime is 100130141. The reversal of 100130130 is 31031001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon 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, 69 + ... + 14151.

It is an arithmetic number, because the mean of its divisors is an integer number (5492760).

Almost surely, 2100130130 is an apocalyptic number.

100130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131826240).

100130130 is an abundant number, since it is smaller than the sum of its proper divisors (163522350).

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

100130130 is a wasteful number, since it uses less digits than its factorization.

100130130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100130130 is about 10006.5043846490. The cubic root of 100130130 is about 464.3601327429.

Adding to 100130130 its reverse (31031001), we get a palindrome (131161131).

The spelling of 100130130 in words is "one hundred million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 395 474 711 790 1185 1422 2370 3555 7110 14083 28166 42249 70415 84498 126747 140830 211245 253494 422490 633735 1112557 1267470 2225114 3337671 5562785 6675342 10013013 11125570 16688355 20026026 33376710 50065065 100130130