Search a number
-
+
211010100157 is a prime number
BaseRepresentation
bin1100010010000100101…
…1101001101110111101
3202011122122201201112201
43010201023221232331
511424122041201112
6240534154431501
721150012154243
oct3044113515675
9664578651481
10211010100157
118154177842a
1234a8aa32591
1316b8a371b3c
14a2da460793
15574ed5b257
hex31212e9bbd

211010100157 has 2 divisors, whose sum is σ = 211010100158. Its totient is φ = 211010100156.

The previous prime is 211010100137. The next prime is 211010100173. The reversal of 211010100157 is 751001010112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210771891801 + 238208356 = 459099^2 + 15434^2 .

It is a cyclic number.

It is not a de Polignac number, because 211010100157 - 227 = 210875882429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211010100137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105505050078 + 105505050079.

It is an arithmetic number, because the mean of its divisors is an integer number (105505050079).

Almost surely, 2211010100157 is an apocalyptic number.

It is an amenable number.

211010100157 is a deficient number, since it is larger than the sum of its proper divisors (1).

211010100157 is an equidigital number, since it uses as much as digits as its factorization.

211010100157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 19.

Adding to 211010100157 its reverse (751001010112), we get a palindrome (962011110269).

The spelling of 211010100157 in words is "two hundred eleven billion, ten million, one hundred thousand, one hundred fifty-seven".