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130221222120 = 233251171463157
BaseRepresentation
bin111100101000111001…
…0100010100011101000
3110110010100012111022200
41321101302202203220
54113143113101440
6135453420420200
712260001060543
oct1712162424350
9413110174280
10130221222120
1150254537630
12212a29a7660
13c38397c5b2
146434a1385a
1535c24b0c30
hex1e51ca28e8

130221222120 has 192 divisors, whose sum is σ = 468197159040. Its totient is φ = 31124083200.

The previous prime is 130221222107. The next prime is 130221222169. The reversal of 130221222120 is 21222122031.

130221222120 is a `hidden beast` number, since 1 + 302 + 21 + 222 + 120 = 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 = 130221222093 and 130221222102.

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 47 ways as a sum of consecutive naturals, for example, 49582 + ... + 512738.

It is an arithmetic number, because the mean of its divisors is an integer number (2438526870).

Almost surely, 2130221222120 is an apocalyptic number.

130221222120 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 130221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234098579520).

130221222120 is an abundant number, since it is smaller than the sum of its proper divisors (337975936920).

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

130221222120 is a wasteful number, since it uses less digits than its factorization.

130221222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463256 (or 463249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130221222120 its reverse (21222122031), we get a palindrome (151443344151).

The spelling of 130221222120 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".