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130043131400 = 235271371157641
BaseRepresentation
bin111100100011100101…
…1001011011000001000
3110102122221002112210002
41321013023023120020
54112312020201100
6135424015342132
712252406243610
oct1710713133010
9412587075702
10130043131400
1150172a59416
1221253221948
13c355ac6780
1464190d5a40
1535b1a332d5
hex1e472cb608

130043131400 has 384 divisors, whose sum is σ = 380360655360. Its totient is φ = 40255488000.

The previous prime is 130043131397. The next prime is 130043131411. The reversal of 130043131400 is 4131340031.

It is a super-2 number, since 2×1300431314002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202875080 + ... + 202875720.

It is an arithmetic number, because the mean of its divisors is an integer number (990522540).

Almost surely, 2130043131400 is an apocalyptic number.

130043131400 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 130043131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190180327680).

130043131400 is an abundant number, since it is smaller than the sum of its proper divisors (250317523960).

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

130043131400 is a wasteful number, since it uses less digits than its factorization.

130043131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130043131400 its reverse (4131340031), we get a palindrome (134174471431).

The spelling of 130043131400 in words is "one hundred thirty billion, forty-three million, one hundred thirty-one thousand, four hundred".