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130133310120 = 2332511107307121
BaseRepresentation
bin111100100110010001…
…1001011101010101000
3110102220012210002201200
41321030203023222220
54113003111410440
6135441000244200
712254552612412
oct1711443135250
9412805702650
10130133310120
1150209951a90
1221279470660
13c36b6abb68
14642708b9b2
1535b98e7c30
hex1e4c8cbaa8

130133310120 has 192 divisors, whose sum is σ = 465695231040. Its totient is φ = 31252531200.

The previous prime is 130133310113. The next prime is 130133310127. The reversal of 130133310120 is 21013331031.

It is a happy number.

130133310120 is a `hidden beast` number, since 1 + 301 + 33 + 310 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (130133310113) and next prime (130133310127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130133310093 and 130133310102.

It is not an unprimeable number, because it can be changed into a prime (130133310127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270160 + ... + 577280.

It is an arithmetic number, because the mean of its divisors is an integer number (2425495995).

Almost surely, 2130133310120 is an apocalyptic number.

130133310120 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 130133310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232847615520).

130133310120 is an abundant number, since it is smaller than the sum of its proper divisors (335561920920).

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

130133310120 is a wasteful number, since it uses less digits than its factorization.

130133310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307256 (or 307249 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130133310120 its reverse (21013331031), we get a palindrome (151146641151).

The spelling of 130133310120 in words is "one hundred thirty billion, one hundred thirty-three million, three hundred ten thousand, one hundred twenty".