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130341000400 = 24521331811997
BaseRepresentation
bin111100101100011101…
…1011101010011010000
3110110102200120212020021
41321120323131103100
54113414244003100
6135513335553224
712262654136422
oct1713073352320
9413380525207
10130341000400
1150306107846
1221316b2b814
13c3a2729610
1464468b2812
1535ccc70a1a
hex1e58edd4d0

130341000400 has 240 divisors, whose sum is σ = 348889558528. Its totient is φ = 46469376000.

The previous prime is 130341000359. The next prime is 130341000443. The reversal of 130341000400 is 4000143031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130732702 + ... + 130733698.

Almost surely, 2130341000400 is an apocalyptic number.

130341000400 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 130341000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174444779264).

130341000400 is an abundant number, since it is smaller than the sum of its proper divisors (218548558128).

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

130341000400 is a wasteful number, since it uses less digits than its factorization.

130341000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 130341000400 its reverse (4000143031), we get a palindrome (134341143431).

The spelling of 130341000400 in words is "one hundred thirty billion, three hundred forty-one million, four hundred", and thus it is an aban number.