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1201657106201 is a prime number
BaseRepresentation
bin10001011111001000010…
…110000100111100011001
311020212200112211211100012
4101133020112010330121
5124141443204344301
62320011134051305
7152550116605316
oct21371026047431
94225615754305
101201657106201
11423690122552
12174a80649b35
13894149c6516
1442236645d0d
15213d0419ebb
hex117c8584f19

1201657106201 has 2 divisors, whose sum is σ = 1201657106202. Its totient is φ = 1201657106200.

The previous prime is 1201657106147. The next prime is 1201657106311. The reversal of 1201657106201 is 1026017561021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1062293016976 + 139364089225 = 1030676^2 + 373315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1201657106201 - 226 = 1201589997337 is a prime.

It is a super-2 number, since 2×12016571062012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1201657106101) 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 as a sum of consecutive naturals, namely, 600828553100 + 600828553101.

It is an arithmetic number, because the mean of its divisors is an integer number (600828553101).

Almost surely, 21201657106201 is an apocalyptic number.

It is an amenable number.

1201657106201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201657106201 is an equidigital number, since it uses as much as digits as its factorization.

1201657106201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 1201657106201 in words is "one trillion, two hundred one billion, six hundred fifty-seven million, one hundred six thousand, two hundred one".