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221023023133001 is a prime number
BaseRepresentation
bin110010010000010011101110…
…110001111111000101001001
31001222120121001111121022210212
4302100103232301333011021
5212432220122410224001
62102024324115450505
764361246361443255
oct6220235661770511
91058517044538725
10221023023133001
1164474379555921
12209578ab2b6a35
1396434c6639a6b
143c817ddcb9265
151a844b1a1a7bb
hexc904eec7f149

221023023133001 has 2 divisors, whose sum is σ = 221023023133002. Its totient is φ = 221023023133000.

The previous prime is 221023023132959. The next prime is 221023023133061. The reversal of 221023023133001 is 100331320320122.

221023023133001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197712705271225 + 23310317861776 = 14061035^2 + 4828076^2 .

It is a cyclic number.

It is not a de Polignac number, because 221023023133001 - 222 = 221023018938697 is a prime.

It is not a weakly prime, because it can be changed into another prime (221023023133061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511511566500 + 110511511566501.

It is an arithmetic number, because the mean of its divisors is an integer number (110511511566501).

Almost surely, 2221023023133001 is an apocalyptic number.

It is an amenable number.

221023023133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221023023133001 is an equidigital number, since it uses as much as digits as its factorization.

221023023133001 is an evil number, because the sum of its binary digits is even.

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

Adding to 221023023133001 its reverse (100331320320122), we get a palindrome (321354343453123).

The spelling of 221023023133001 in words is "two hundred twenty-one trillion, twenty-three billion, twenty-three million, one hundred thirty-three thousand, one".