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130021420032 = 2103272499577
BaseRepresentation
bin111100100010111100…
…0010110110000000000
3110102121102020111101100
41321011320112300000
54112240440420112
6135421522134400
712252023556300
oct1710570266000
9412542214340
10130021420032
115016177a339
1221247ab1400
13c3514643ca
146416283600
1535aeb952dc
hex1e45e16c00

130021420032 has 396 divisors, whose sum is σ = 438363003000. Its totient is φ = 37010276352.

The previous prime is 130021420019. The next prime is 130021420033. The reversal of 130021420032 is 230024120031.

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 = 130021419987 and 130021420014.

It is not an unprimeable number, because it can be changed into a prime (130021420033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225340128 + ... + 225340704.

Almost surely, 2130021420032 is an apocalyptic number.

130021420032 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 130021420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219181501500).

130021420032 is an abundant number, since it is smaller than the sum of its proper divisors (308341582968).

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

130021420032 is a wasteful number, since it uses less digits than its factorization.

130021420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130021420032 its reverse (230024120031), we get a palindrome (360045540063).

The spelling of 130021420032 in words is "one hundred thirty billion, twenty-one million, four hundred twenty thousand, thirty-two".