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221303121030000 = 2433544319061423
BaseRepresentation
bin110010010100011000100101…
…111010101010101101110000
31002000120101001000012202202000
4302110120211322222231300
5213001312242440430000
62102401130021454000
764420423433335002
oct6224304572525560
91060511030182660
10221303121030000
1164572143508609
12209a203b571300
139663a44149259
143c911b1b3a372
151a8b906d4a000
hexc94625eaab70

221303121030000 has 400 divisors, whose sum is σ = 812233200176640. Its totient is φ = 57641740128000.

The previous prime is 221303121029971. The next prime is 221303121030001. The reversal of 221303121030000 is 30121303122.

221303121030000 is a `hidden beast` number, since 2 + 21 + 30 + 312 + 1 + 0 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303121030001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2079289 + ... + 21140711.

Almost surely, 2221303121030000 is an apocalyptic number.

221303121030000 is a gapful number since it is divisible by the number (20) 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 221303121030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406116600088320).

221303121030000 is an abundant number, since it is smaller than the sum of its proper divisors (590930079146640).

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

221303121030000 is a wasteful number, since it uses less digits than its factorization.

221303121030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061503 (or 19061476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221303121030000 its reverse (30121303122), we get a palindrome (221333242333122).

The spelling of 221303121030000 in words is "two hundred twenty-one trillion, three hundred three billion, one hundred twenty-one million, thirty thousand".