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130121400 = 233521712757
BaseRepresentation
bin1111100000101…
…11111010111000
3100001211212000010
413300113322320
5231302341100
620524541520
73140004453
oct760277270
9301755003
10130121400
11674a5152
12376b18a0
1320c5bb16
14133d249a
15b654750
hex7c17eb8

130121400 has 96 divisors (see below), whose sum is σ = 427137840. Its totient is φ = 32655360.

The previous prime is 130121393. The next prime is 130121401. The reversal of 130121400 is 4121031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822 + ... + 16578.

Almost surely, 2130121400 is an apocalyptic number.

130121400 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 130121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213568920).

130121400 is an abundant number, since it is smaller than the sum of its proper divisors (297016440).

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

130121400 is a wasteful number, since it uses less digits than its factorization.

130121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793 (or 12784 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130121400 is about 11407.0767508595. The cubic root of 130121400 is about 506.7373420185.

Adding to 130121400 its reverse (4121031), we get a palindrome (134242431).

The spelling of 130121400 in words is "one hundred thirty million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 12757 25514 38271 51028 63785 76542 102056 127570 153084 191355 216869 255140 306168 318925 382710 433738 510280 637850 650607 765420 867476 956775 1084345 1275700 1301214 1530840 1734952 1913550 2168690 2551400 2602428 3253035 3827100 4337380 5204856 5421725 6506070 7654200 8674760 10843450 13012140 16265175 21686900 26024280 32530350 43373800 65060700 130121400