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130303201133232 = 2434372887194121
BaseRepresentation
bin11101101000001010010100…
…000001000100001010110000
3122002100212100010102201210000
4131220022110001010022300
5114034341423442230412
61141044244134310000
736306044536624101
oct3550122401041260
9562325303381700
10130303201133232
1138578306051286
12127457724b8300
13579270165b36a
1424269cc5023a8
15100e742ccb4dc
hex7682940442b0

130303201133232 has 200 divisors, whose sum is σ = 387345644354592. Its totient is φ = 42258584908800.

The previous prime is 130303201133093. The next prime is 130303201133251. The reversal of 130303201133232 is 232331102303031.

130303201133232 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 0 + 320 + 1 + 1 + 332 + 3 + 2 = 666.

It is a super-3 number, since 3×1303032011332323 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130303201133196 and 130303201133205.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1384375132 + ... + 1384469252.

Almost surely, 2130303201133232 is an apocalyptic number.

130303201133232 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 130303201133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193672822177296).

130303201133232 is an abundant number, since it is smaller than the sum of its proper divisors (257042443221360).

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

130303201133232 is a wasteful number, since it uses less digits than its factorization.

130303201133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123049 (or 123034 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 130303201133232 its reverse (232331102303031), we get a palindrome (362634303436263).

The spelling of 130303201133232 in words is "one hundred thirty trillion, three hundred three billion, two hundred one million, one hundred thirty-three thousand, two hundred thirty-two".