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130223661120 = 263657174691
BaseRepresentation
bin111100101000111101…
…1110110000001000000
3110110010111210102000000
41321101323312001000
54113144224123440
6135453545000000
712260030566410
oct1712173660100
9413114712000
10130223661120
1150255953033
12212a3783000
13c3843247a7
14643508a640
1535c27e3730
hex1e51ef6040

130223661120 has 784 divisors, whose sum is σ = 562724247168. Its totient is φ = 28008529920.

The previous prime is 130223661053. The next prime is 130223661149. The reversal of 130223661120 is 21166322031.

130223661120 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 23 + 6 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 27757975 + ... + 27762665.

Almost surely, 2130223661120 is an apocalyptic number.

130223661120 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 130223661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281362123584).

130223661120 is an abundant number, since it is smaller than the sum of its proper divisors (432500586048).

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

130223661120 is an equidigital number, since it uses as much as digits as its factorization.

130223661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130223661120 its reverse (21166322031), we get a palindrome (151389983151).

The spelling of 130223661120 in words is "one hundred thirty billion, two hundred twenty-three million, six hundred sixty-one thousand, one hundred twenty".