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130441004120420 = 225725389211113367
BaseRepresentation
bin11101101010001010101001…
…101101101111100101100100
3122002212001000212001210112022
4131222022221231233211210
5114044121134023323140
61141231434154442312
736322023452655200
oct3552125155574544
9562761025053468
10130441004120420
11386207a0266154
1212768410433398
1357a26c2cc6576
14242d54202db00
15101310abc10b5
hex76a2a9b6f964

130441004120420 has 288 divisors, whose sum is σ = 328488950845440. Its totient is φ = 43361990031360.

The previous prime is 130441004120419. The next prime is 130441004120437. The reversal of 130441004120420 is 24021400144031.

It is a self number, because there is not a number n which added to its sum of digits gives 130441004120420.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9758428577 + ... + 9758441943.

It is an arithmetic number, because the mean of its divisors is an integer number (1140586634880).

Almost surely, 2130441004120420 is an apocalyptic number.

130441004120420 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 130441004120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164244475422720).

130441004120420 is an abundant number, since it is smaller than the sum of its proper divisors (198047946725020).

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

130441004120420 is a wasteful number, since it uses less digits than its factorization.

130441004120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15634 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 130441004120420 its reverse (24021400144031), we get a palindrome (154462404264451).

The spelling of 130441004120420 in words is "one hundred thirty trillion, four hundred forty-one billion, four million, one hundred twenty thousand, four hundred twenty".