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130132431400 = 23522373938281
BaseRepresentation
bin111100100110001111…
…1110101001000101000
3110102220011010110100111
41321030133311020220
54113002400301100
6135440525344104
712254542262506
oct1711437651050
9412804113314
10130132431400
1150209401874
1221279108034
13c36b461bca
146426cdd676
1535b97c26ba
hex1e4c7f5228

130132431400 has 96 divisors (see below), whose sum is σ = 316148068800. Its totient is φ = 49721126400.

The previous prime is 130132431347. The next prime is 130132431433. The reversal of 130132431400 is 4134231031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380260 + ... + 3418540.

It is an arithmetic number, because the mean of its divisors is an integer number (3293209050).

Almost surely, 2130132431400 is an apocalyptic number.

130132431400 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 130132431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158074034400).

130132431400 is an abundant number, since it is smaller than the sum of its proper divisors (186015637400).

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

130132431400 is a wasteful number, since it uses less digits than its factorization.

130132431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39059 (or 39050 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 130132431400 its reverse (4134231031), we get a palindrome (134266662431).

The spelling of 130132431400 in words is "one hundred thirty billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 739 920 1150 1478 2300 2956 3695 4600 5912 7390 14780 16997 18475 29560 33994 36950 38281 67988 73900 76562 84985 135976 147800 153124 169970 191405 306248 339940 382810 424925 679880 765620 849850 880463 957025 1531240 1699700 1760926 1914050 3399400 3521852 3828100 4402315 7043704 7656200 8804630 17609260 22011575 28289659 35218520 44023150 56579318 88046300 113158636 141448295 176092600 226317272 282896590 565793180 650662157 707241475 1131586360 1301324314 1414482950 2602648628 2828965900 3253310785 5205297256 5657931800 6506621570 13013243140 16266553925 26026486280 32533107850 65066215700 130132431400