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221331231023 = 7235923300477
BaseRepresentation
bin1100111000100001011…
…1101001000100101111
3210011021221202111101212
43032020113221010233
512111241243343043
6245402252225035
721663536264630
oct3161027510457
9704257674355
10221331231023
1185958789851
1236a8b46b17b
1317b43748176
14a9d90d7887
155b55eee018
hex33885e912f

221331231023 has 16 divisors (see below), whose sum is σ = 268421506560. Its totient is φ = 178388444256.

The previous prime is 221331231001. The next prime is 221331231029. The reversal of 221331231023 is 320132133122.

221331231023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 221331231023 - 28 = 221331230767 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221331231023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221331231029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11640740 + ... + 11659737.

It is an arithmetic number, because the mean of its divisors is an integer number (16776344160).

Almost surely, 2221331231023 is an apocalyptic number.

221331231023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221331231023 is a deficient number, since it is larger than the sum of its proper divisors (47090275537).

221331231023 is a wasteful number, since it uses less digits than its factorization.

221331231023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23300566.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 221331231023 its reverse (320132133122), we get a palindrome (541463364145).

The spelling of 221331231023 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred thirty-one thousand, twenty-three".

Divisors: 1 7 23 59 161 413 1357 9499 23300477 163103339 535910971 1374728143 3751376797 9623097001 31618747289 221331231023