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130120400 = 2452325301
BaseRepresentation
bin1111100000101…
…11101011010000
3100001211210122002
413300113223100
5231302323100
620524533132
73140001524
oct760275320
9301753562
10130120400
11674a4423
12376b11a8
1320c5b527
14133d1d84
15b6542d5
hex7c17ad0

130120400 has 30 divisors (see below), whose sum is σ = 312615222. Its totient is φ = 52048000.

The previous prime is 130120399. The next prime is 130120409. The reversal of 130120400 is 4021031.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17505856 + 112614544 = 4184^2 + 10612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162251 + ... + 163050.

Almost surely, 2130120400 is an apocalyptic number.

130120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130120400 is an abundant number, since it is smaller than the sum of its proper divisors (182494822).

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

130120400 is a wasteful number, since it uses less digits than its factorization.

130120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325319 (or 325308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 130120400 is about 11407.0329183360. The cubic root of 130120400 is about 506.7360439009.

Adding to 130120400 its reverse (4021031), we get a palindrome (134141431).

The spelling of 130120400 in words is "one hundred thirty million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 325301 650602 1301204 1626505 2602408 3253010 5204816 6506020 8132525 13012040 16265050 26024080 32530100 65060200 130120400