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130036420360 = 23571124917817
BaseRepresentation
bin111100100011011000…
…1100100111100001000
3110102122110110120222001
41321012301210330020
54112303310422420
6135423215440344
712252265223110
oct1710661447410
9412573416861
10130036420360
115016a195300
1221250b260b4
13c3545b6c42
14641826a040
1535b1159b0a
hex1e46c64f08

130036420360 has 192 divisors, whose sum is σ = 368336626560. Its totient is φ = 40443110400.

The previous prime is 130036420351. The next prime is 130036420363. The reversal of 130036420360 is 63024630031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (130036420363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16631172 + ... + 16638988.

It is an arithmetic number, because the mean of its divisors is an integer number (1918419930).

Almost surely, 2130036420360 is an apocalyptic number.

130036420360 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 130036420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168313280).

130036420360 is an abundant number, since it is smaller than the sum of its proper divisors (238300206200).

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

130036420360 is a wasteful number, since it uses less digits than its factorization.

130036420360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8333 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 130036420360 in words is "one hundred thirty billion, thirty-six million, four hundred twenty thousand, three hundred sixty".