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130012120 = 23571972357
BaseRepresentation
bin1111011111111…
…01001111011000
3100001122022002201
413233331033120
5231240341440
620522335544
73136041040
oct757751730
9301568081
10130012120
1167430037
123765a5b4
1320c21164
14133a4720
15b63219a
hex7bfd3d8

130012120 has 64 divisors (see below), whose sum is σ = 336156480. Its totient is φ = 44330496.

The previous prime is 130012111. The next prime is 130012139. The reversal of 130012120 is 21210031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130012097 and 130012106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53982 + ... + 56338.

It is an arithmetic number, because the mean of its divisors is an integer number (5252445).

Almost surely, 2130012120 is an apocalyptic number.

130012120 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 130012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168078240).

130012120 is an abundant number, since it is smaller than the sum of its proper divisors (206144360).

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

130012120 is a wasteful number, since it uses less digits than its factorization.

130012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130012120 is about 11402.2857357637. The cubic root of 130012120 is about 506.5954443593.

Adding to 130012120 its reverse (21210031), we get a palindrome (151222151).

The spelling of 130012120 in words is "one hundred thirty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1379 1576 1970 2357 2758 3940 4714 5516 6895 7880 9428 11032 11785 13790 16499 18856 23570 27580 32998 47140 55160 65996 82495 94280 131992 164990 329980 464329 659960 928658 1857316 2321645 3250303 3714632 4643290 6500606 9286580 13001212 16251515 18573160 26002424 32503030 65006060 130012120