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130739333400 = 23325213151163227
BaseRepresentation
bin111100111000010101…
…0111110100100011000
3110111110110010021101100
41321300222332210120
54120223232132100
6140021045351400
712305561666214
oct1716052764430
9414413107340
10130739333400
115049aa44275
1221408408560
13c437106210
146483761944
153602c05400
hex1e70abe918

130739333400 has 576 divisors, whose sum is σ = 481001713920. Its totient is φ = 31632768000.

The previous prime is 130739333399. The next prime is 130739333401. The reversal of 130739333400 is 4333937031.

It is a happy number.

130739333400 is a `hidden beast` number, since 1 + 307 + 3 + 9 + 3 + 3 + 340 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130739333399) and next prime (130739333401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130739333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575944087 + ... + 575944313.

It is an arithmetic number, because the mean of its divisors is an integer number (835072420).

Almost surely, 2130739333400 is an apocalyptic number.

130739333400 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 130739333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240500856960).

130739333400 is an abundant number, since it is smaller than the sum of its proper divisors (350262380520).

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

130739333400 is a wasteful number, since it uses less digits than its factorization.

130739333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 36.

The spelling of 130739333400 in words is "one hundred thirty billion, seven hundred thirty-nine million, three hundred thirty-three thousand, four hundred".