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130479331200 = 2735223225693
BaseRepresentation
bin111100110000100101…
…1001001011110000000
3110110210022212210102020
41321201023021132000
54114210202044300
6135535200521440
712266254005261
oct1714113113600
9413708783366
10130479331200
11503771a9819
1221355320280
13c3c52a0c6a
14645b000968
1535d9e978a0
hex1e612c9780

130479331200 has 288 divisors, whose sum is σ = 449281686840. Its totient is φ = 33280389120.

The previous prime is 130479331139. The next prime is 130479331219. The reversal of 130479331200 is 2133974031.

130479331200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5065554 + ... + 5091246.

Almost surely, 2130479331200 is an apocalyptic number.

130479331200 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 130479331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640843420).

130479331200 is an abundant number, since it is smaller than the sum of its proper divisors (318802355640).

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

130479331200 is a wasteful number, since it uses less digits than its factorization.

130479331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25766 (or 25726 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 130479331200 in words is "one hundred thirty billion, four hundred seventy-nine million, three hundred thirty-one thousand, two hundred".