Search a number
-
+
2231101133197 is a prime number
BaseRepresentation
bin100000011101110111111…
…111011001000110001101
321220021212021101210121121
4200131313333121012031
5243023243342230242
64424542000200541
7320122523503546
oct40356777310615
97807767353547
102231101133197
11790228474752
1230049b309151
13132513105031
1479db33314cd
153d081a87667
hex20777fd918d

2231101133197 has 2 divisors, whose sum is σ = 2231101133198. Its totient is φ = 2231101133196.

The previous prime is 2231101133167. The next prime is 2231101133213. The reversal of 2231101133197 is 7913311011322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1746676781161 + 484424352036 = 1321619^2 + 696006^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231101133197 is a prime.

It is a super-3 number, since 3×22311011331973 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231101133167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115550566598 + 1115550566599.

It is an arithmetic number, because the mean of its divisors is an integer number (1115550566599).

Almost surely, 22231101133197 is an apocalyptic number.

It is an amenable number.

2231101133197 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231101133197 is an equidigital number, since it uses as much as digits as its factorization.

2231101133197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 2231101133197 in words is "two trillion, two hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred ninety-seven".