Search a number
-
+
2157176101 is a prime number
BaseRepresentation
bin1000000010010011…
…1110010100100101
312120100002220022011
42000210332110211
513404214113401
6554015434221
7104312460103
oct20044762445
95510086264
102157176101
11a07740373
12502525971
13284bb9682
141666d0c73
15c95ad451
hex8093e525

2157176101 has 2 divisors, whose sum is σ = 2157176102. Its totient is φ = 2157176100.

The previous prime is 2157176051. The next prime is 2157176129. The reversal of 2157176101 is 1016717512.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2129361025 + 27815076 = 46145^2 + 5274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2157176101 - 27 = 2157175973 is a prime.

It is a super-4 number, since 4×21571761014 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2157173101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1078588050 + 1078588051.

It is an arithmetic number, because the mean of its divisors is an integer number (1078588051).

Almost surely, 22157176101 is an apocalyptic number.

It is an amenable number.

2157176101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2157176101 is an equidigital number, since it uses as much as digits as its factorization.

2157176101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 31.

The square root of 2157176101 is about 46445.4099023789. The cubic root of 2157176101 is about 1292.0972437246.

The spelling of 2157176101 in words is "two billion, one hundred fifty-seven million, one hundred seventy-six thousand, one hundred one".