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130000321220 = 225721122414549
BaseRepresentation
bin111100100010010011…
…1110111101011000100
3110102112221112120020212
41321010213313223010
54112220040234340
6135415450014552
712251346332600
oct1710447675304
9412487476225
10130000321220
1150150879500
1221240a17458
13c349c87ac3
146413550500
1535acdc8a65
hex1e449f7ac4

130000321220 has 216 divisors, whose sum is σ = 350592442200. Its totient is φ = 40342579200.

The previous prime is 130000321201. The next prime is 130000321237. The reversal of 130000321220 is 22123000031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38613822016 + 91386499204 = 196504^2 + 302302^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130000321195 and 130000321204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28575506 + ... + 28580054.

Almost surely, 2130000321220 is an apocalyptic number.

130000321220 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 130000321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175296221100).

130000321220 is an abundant number, since it is smaller than the sum of its proper divisors (220592120980).

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

130000321220 is a wasteful number, since it uses less digits than its factorization.

130000321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130000321220 its reverse (22123000031), we get a palindrome (152123321251).

The spelling of 130000321220 in words is "one hundred thirty billion, three hundred twenty-one thousand, two hundred twenty".