Search a number
-
+
31123202101 is a prime number
BaseRepresentation
bin11100111111000101…
…100110000000110101
32222100000210110222221
4130333011212000311
51002220014431401
622144154122341
72151155565355
oct347705460065
988300713887
1031123202101
1112221266432
1260471203b1
132c1ccaa824
1417136a6b65
15c225447a1
hex73f166035

31123202101 has 2 divisors, whose sum is σ = 31123202102. Its totient is φ = 31123202100.

The previous prime is 31123202069. The next prime is 31123202113. The reversal of 31123202101 is 10120232113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19539846225 + 11583355876 = 139785^2 + 107626^2 .

It is an emirp because it is prime and its reverse (10120232113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31123202101 - 25 = 31123202069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31123202141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561601050 + 15561601051.

It is an arithmetic number, because the mean of its divisors is an integer number (15561601051).

Almost surely, 231123202101 is an apocalyptic number.

It is an amenable number.

31123202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123202101 is an equidigital number, since it uses as much as digits as its factorization.

31123202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31123202101 its reverse (10120232113), we get a palindrome (41243434214).

The spelling of 31123202101 in words is "thirty-one billion, one hundred twenty-three million, two hundred two thousand, one hundred one".