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130220321220 = 2233511127172619
BaseRepresentation
bin111100101000110111…
…1000110100111000100
3110110010021111201112000
41321101233012213010
54113142400234340
6135453345225300
712256660316163
oct1712157064704
9413107451460
10130220321220
1150253a81790
12212a2632230
13c383725512
14643485b3da
1535c2383d30
hex1e51bc69c4

130220321220 has 192 divisors, whose sum is σ = 445442457600. Its totient is φ = 31319809920.

The previous prime is 130220321191. The next prime is 130220321233. The reversal of 130220321220 is 22123022031.

130220321220 is a `hidden beast` number, since 1 + 302 + 20 + 321 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130220321193 and 130220321202.

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 63 ways as a sum of consecutive naturals, for example, 668071 + ... + 840689.

It is an arithmetic number, because the mean of its divisors is an integer number (2320012800).

Almost surely, 2130220321220 is an apocalyptic number.

130220321220 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 130220321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222721228800).

130220321220 is an abundant number, since it is smaller than the sum of its proper divisors (315222136380).

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

130220321220 is a wasteful number, since it uses less digits than its factorization.

130220321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172775 (or 172767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130220321220 its reverse (22123022031), we get a palindrome (152343343251).

The spelling of 130220321220 in words is "one hundred thirty billion, two hundred twenty million, three hundred twenty-one thousand, two hundred twenty".