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130120200 = 233252723449
BaseRepresentation
bin1111100000101…
…11101000001000
3100001211210100200
413300113220020
5231302321300
620524532200
73140001120
oct760275010
9301753320
10130120200
11674a4261
12376b1060
1320c5b402
14133d1c80
15b654200
hex7c17a08

130120200 has 288 divisors, whose sum is σ = 522288000. Its totient is φ = 28385280.

The previous prime is 130120181. The next prime is 130120201. The reversal of 130120200 is 2021031.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289576 + ... + 290024.

It is an arithmetic number, because the mean of its divisors is an integer number (1813500).

Almost surely, 2130120200 is an apocalyptic number.

130120200 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 130120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144000).

130120200 is an abundant number, since it is smaller than the sum of its proper divisors (392167800).

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

130120200 is a wasteful number, since it uses less digits than its factorization.

130120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130120200 is about 11407.0241518110. The cubic root of 130120200 is about 506.7357842766.

Adding to 130120200 its reverse (2021031), we get a palindrome (132141231).

The spelling of 130120200 in words is "one hundred thirty million, one hundred twenty thousand, two hundred".