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130120000 = 26543253
BaseRepresentation
bin1111100000101…
…11100101000000
3100001211210002021
413300113211000
5231302320000
620524531224
73140000413
oct760274500
9301753067
10130120000
11674a409a
12376b0b14
1320c5b2aa
14133d1b7a
15b65411a
hex7c17940

130120000 has 70 divisors (see below), whose sum is σ = 322754498. Its totient is φ = 52032000.

The previous prime is 130119967. The next prime is 130120007. The reversal of 130120000 is 21031.

130120000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 5 ways, for example, as 12787776 + 117332224 = 3576^2 + 10832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38374 + ... + 41626.

Almost surely, 2130120000 is an apocalyptic number.

130120000 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 130120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161377249).

130120000 is an abundant number, since it is smaller than the sum of its proper divisors (192634498).

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

130120000 is an frugal number, since it uses more digits than its factorization.

130120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 130120000 is about 11407.0153852794. The cubic root of 130120000 is about 506.7355246520.

Adding to 130120000 its reverse (21031), we get a palindrome (130141031).

The spelling of 130120000 in words is "one hundred thirty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3253 4000 5000 6506 8000 10000 13012 16265 20000 26024 32530 40000 52048 65060 81325 104096 130120 162650 208192 260240 325300 406625 520480 650600 813250 1040960 1301200 1626500 2033125 2602400 3253000 4066250 5204800 6506000 8132500 13012000 16265000 26024000 32530000 65060000 130120000