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130231400 = 23521323853
BaseRepresentation
bin1111100001100…
…10110001101000
3100002001102220012
413300302301220
5231314401100
620531151052
73140643245
oct760626150
9302042805
10130231400
116756a862
1237745488
1320c99c00
14134205cc
15b677135
hex7c32c68

130231400 has 72 divisors (see below), whose sum is σ = 327956130. Its totient is φ = 48072960.

The previous prime is 130231397. The next prime is 130231411. The reversal of 130231400 is 4132031.

It can be written as a sum of positive squares in 9 ways, for example, as 5373124 + 124858276 = 2318^2 + 11174^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31874 + ... + 35726.

Almost surely, 2130231400 is an apocalyptic number.

130231400 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 130231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163978065).

130231400 is an abundant number, since it is smaller than the sum of its proper divisors (197724730).

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

130231400 is a wasteful number, since it uses less digits than its factorization.

130231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130231400 is about 11411.8973006245. The cubic root of 130231400 is about 506.8800943708.

Adding to 130231400 its reverse (4132031), we get a palindrome (134363431).

The spelling of 130231400 in words is "one hundred thirty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 3853 4225 6760 7706 8450 15412 16900 19265 30824 33800 38530 50089 77060 96325 100178 154120 192650 200356 250445 385300 400712 500890 651157 770600 1001780 1252225 1302314 2003560 2504450 2604628 3255785 5008900 5209256 6511570 10017800 13023140 16278925 26046280 32557850 65115700 130231400