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130137221400 = 23352377974203
BaseRepresentation
bin111100100110011001…
…0000110100100011000
3110102220111010210222220
41321030302012210120
54113010112041100
6135441220144040
712254631062514
oct1711462064430
9412814123886
10130137221400
115021108364a
122127a838020
13c36c44b224
1464277c9144
1535b9e1baa0
hex1e4cc86918

130137221400 has 192 divisors, whose sum is σ = 419579097600. Its totient is φ = 33337474560.

The previous prime is 130137221393. The next prime is 130137221443. The reversal of 130137221400 is 4122731031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716699 + ... + 1790901.

It is an arithmetic number, because the mean of its divisors is an integer number (2185307800).

Almost surely, 2130137221400 is an apocalyptic number.

130137221400 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 130137221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209789548800).

130137221400 is an abundant number, since it is smaller than the sum of its proper divisors (289441876200).

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

130137221400 is a wasteful number, since it uses less digits than its factorization.

130137221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74338 (or 74329 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 130137221400 its reverse (4122731031), we get a palindrome (134259952431).

The spelling of 130137221400 in words is "one hundred thirty billion, one hundred thirty-seven million, two hundred twenty-one thousand, four hundred".