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221301431201 is a prime number
BaseRepresentation
bin1100111000011010010…
…1111101101110100001
3210011012212200111201202
43032012211331232201
512111211131244301
6245355305410545
721663025061654
oct3160645755641
9704185614652
10221301431201
11859429857a4
1236a81499a55
1317b3a513336
14a9d517b89b
155b535b466b
hex338697dba1

221301431201 has 2 divisors, whose sum is σ = 221301431202. Its totient is φ = 221301431200.

The previous prime is 221301431111. The next prime is 221301431249. The reversal of 221301431201 is 102134103122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125929168225 + 95372262976 = 354865^2 + 308824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221301431201 is a prime.

It is a super-2 number, since 2×2213014312012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221301431251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650715600 + 110650715601.

It is an arithmetic number, because the mean of its divisors is an integer number (110650715601).

Almost surely, 2221301431201 is an apocalyptic number.

It is an amenable number.

221301431201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221301431201 is an equidigital number, since it uses as much as digits as its factorization.

221301431201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221301431201 its reverse (102134103122), we get a palindrome (323435534323).

The spelling of 221301431201 in words is "two hundred twenty-one billion, three hundred one million, four hundred thirty-one thousand, two hundred one".