Search a number
-
+
130421222400 = 210352734951
BaseRepresentation
bin111100101110110110…
…1011110110000000000
3110110122021112120010110
41321131231132300000
54114100313104100
6135525323231320
712264650046000
oct1713555366000
9413567476113
10130421222400
115034741a817
1221339978540
13c3b6236a61
1464533d6000
1535d4d1a250
hex1e5db5ec00

130421222400 has 528 divisors, whose sum is σ = 502782502400. Its totient is φ = 29804544000.

The previous prime is 130421222389. The next prime is 130421222423. The reversal of 130421222400 is 4222124031.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 26339925 + ... + 26344875.

Almost surely, 2130421222400 is an apocalyptic number.

130421222400 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 130421222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251391251200).

130421222400 is an abundant number, since it is smaller than the sum of its proper divisors (372361280000).

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

130421222400 is an equidigital number, since it uses as much as digits as its factorization.

130421222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 130421222400 its reverse (4222124031), we get a palindrome (134643346431).

The spelling of 130421222400 in words is "one hundred thirty billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred".