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130910100 = 22352894903
BaseRepresentation
bin1111100110110…
…00011110010100
3100010022220220020
413303120132110
5232003110400
620553505140
73146501046
oct763303624
9303286806
10130910100
1167993772
1237a121b0
1321176ac9
1413559a96
15b75d2a0
hex7cd8794

130910100 has 72 divisors (see below), whose sum is σ = 383100480. Its totient is φ = 34510080.

The previous prime is 130910083. The next prime is 130910111. The reversal of 130910100 is 1019031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130910100.

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, 24249 + ... + 29151.

It is an arithmetic number, because the mean of its divisors is an integer number (5320840).

Almost surely, 2130910100 is an apocalyptic number.

130910100 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 130910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191550240).

130910100 is an abundant number, since it is smaller than the sum of its proper divisors (252190380).

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

130910100 is a wasteful number, since it uses less digits than its factorization.

130910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 130910100 is about 11441.5951685069. The cubic root of 130910100 is about 507.7591031350.

Adding to 130910100 its reverse (1019031), we get a palindrome (131929131).

The spelling of 130910100 in words is "one hundred thirty million, nine hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 4903 5340 6675 8900 9806 13350 14709 19612 24515 26700 29418 49030 58836 73545 98060 122575 147090 245150 294180 367725 436367 490300 735450 872734 1309101 1470900 1745468 2181835 2618202 4363670 5236404 6545505 8727340 10909175 13091010 21818350 26182020 32727525 43636700 65455050 130910100