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130022000032320 = 26325114104229799
BaseRepresentation
bin11101100100000100011011…
…000111111111101001000000
3122001100222111201221201120200
4131210010123013333221000
5114020240024002013240
61140311140543005200
736246531240663414
oct3544043307775100
9561328451851520
10130022000032320
113847a025396120
12126bb174899800
135772039418aa6
142417153d4ad44
151007285bd1930
hex76411b1ffa40

130022000032320 has 168 divisors, whose sum is σ = 487878004785600. Its totient is φ = 31520484848640.

The previous prime is 130022000032289. The next prime is 130022000032403. The reversal of 130022000032320 is 23230000220031.

It is a happy number.

130022000032320 is a `hidden beast` number, since 1 + 300 + 2 + 20 + 0 + 0 + 0 + 323 + 20 = 666.

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 = 130022000032293 and 130022000032302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2052083220 + ... + 2052146579.

Almost surely, 2130022000032320 is an apocalyptic number.

130022000032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130022000032320 is an abundant number, since it is smaller than the sum of its proper divisors (357856004753280).

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

130022000032320 is a wasteful number, since it uses less digits than its factorization.

130022000032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104229833 (or 4104229820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130022000032320 its reverse (23230000220031), we get a palindrome (153252000252351).

The spelling of 130022000032320 in words is "one hundred thirty trillion, twenty-two billion, thirty-two thousand, three hundred twenty".