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130121640 = 23355111217
BaseRepresentation
bin1111100000101…
…11111110101000
3100001211212100000
413300113332220
5231302343030
620524543000
73140005245
oct760277650
9301755300
10130121640
11674a5350
12376b1a60
1320c5bc6c
14133d25cc
15b654860
hex7c17fa8

130121640 has 192 divisors, whose sum is σ = 478820160. Its totient is φ = 31518720.

The previous prime is 130121627. The next prime is 130121657. The reversal of 130121640 is 46121031.

It is a happy number.

130121640 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 21 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106312 + ... + 107528.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2130121640 is an apocalyptic number.

130121640 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 130121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239410080).

130121640 is an abundant number, since it is smaller than the sum of its proper divisors (348698520).

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

130121640 is a wasteful number, since it uses less digits than its factorization.

130121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130121640 is about 11407.0872706401. The cubic root of 130121640 is about 506.7376535657.

Adding to 130121640 its reverse (46121031), we get a palindrome (176242671).

The spelling of 130121640 in words is "one hundred thirty million, one hundred twenty-one thousand, six hundred forty".