Search a number
-
+
221020100109097 is a prime number
BaseRepresentation
bin110010010000010001000000…
…100011100010001100101001
31001222120022111210102022211021
4302100101000203202030221
5212432143131111442342
62102023122101132441
764361114056240552
oct6220210043421451
91058508453368737
10221020100109097
1164473109590793
12209572143ba121
13964314bb97413
143c816039cd329
151a843900ce567
hexc904408e2329

221020100109097 has 2 divisors, whose sum is σ = 221020100109098. Its totient is φ = 221020100109096.

The previous prime is 221020100109019. The next prime is 221020100109181. The reversal of 221020100109097 is 790901001020122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145186377547561 + 75833722561536 = 12049331^2 + 8708256^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221020100109097 is a prime.

It is a super-2 number, since 2×2210201001090972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221020190109097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110510050054548 + 110510050054549.

It is an arithmetic number, because the mean of its divisors is an integer number (110510050054549).

Almost surely, 2221020100109097 is an apocalyptic number.

It is an amenable number.

221020100109097 is a deficient number, since it is larger than the sum of its proper divisors (1).

221020100109097 is an equidigital number, since it uses as much as digits as its factorization.

221020100109097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 34.

The spelling of 221020100109097 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, one hundred nine thousand, ninety-seven".