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130348120752 = 243319107193769
BaseRepresentation
bin111100101100101011…
…0100111101010110000
3110110110011222121112000
41321121112213222300
54113423104331002
6135514152334000
712263101513443
oct1713126475260
9413404877460
10130348120752
115030a130433
12213193a4300
13c3a4050545
14644780765a
1535cd6ca61c
hex1e595a7ab0

130348120752 has 320 divisors, whose sum is σ = 400099392000. Its totient is φ = 40513830912.

The previous prime is 130348120751. The next prime is 130348120781. The reversal of 130348120752 is 257021843031.

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

It is not an unprimeable number, because it can be changed into a prime (130348120751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169503024 + ... + 169503792.

It is an arithmetic number, because the mean of its divisors is an integer number (1250310600).

Almost surely, 2130348120752 is an apocalyptic number.

130348120752 is a gapful number since it is divisible by the number (12) 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 130348120752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200049696000).

130348120752 is an abundant number, since it is smaller than the sum of its proper divisors (269751271248).

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

130348120752 is a wasteful number, since it uses less digits than its factorization.

130348120752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 130348120752 its reverse (257021843031), we get a palindrome (387369963783).

The spelling of 130348120752 in words is "one hundred thirty billion, three hundred forty-eight million, one hundred twenty thousand, seven hundred fifty-two".