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130220002411224 = 233115967787714081
BaseRepresentation
bin11101100110111100110100…
…111111001000001011011000
3122002001220120212100202002120
4131212330310333020023120
5114032011031104124344
61140542124313101240
736300041024304255
oct3546746477101330
9562056525322076
10130220002411224
1138545aa1594aa0
12127316133b7820
13578790291463b
1424229789d242c
15100c4c3ab3219
hex766f34fc82d8

130220002411224 has 256 divisors, whose sum is σ = 362136497241600. Its totient is φ = 38687568691200.

The previous prime is 130220002411207. The next prime is 130220002411249. The reversal of 130220002411224 is 422114200022031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130220002411194 and 130220002411203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9247915864 + ... + 9247929944.

It is an arithmetic number, because the mean of its divisors is an integer number (1414595692350).

Almost surely, 2130220002411224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130220002411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181068248620800).

130220002411224 is an abundant number, since it is smaller than the sum of its proper divisors (231916494830376).

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

130220002411224 is a wasteful number, since it uses less digits than its factorization.

130220002411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15714 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 130220002411224 its reverse (422114200022031), we get a palindrome (552334202433255).

The spelling of 130220002411224 in words is "one hundred thirty trillion, two hundred twenty billion, two million, four hundred eleven thousand, two hundred twenty-four".