Search a number
-
+
31142405101 is a prime number
BaseRepresentation
bin11101000000001110…
…110110001111101101
32222101100221002120011
4131000032312033231
51002234423430401
622150121453221
72151511034653
oct350016661755
988340832504
1031142405101
1112231091985
126051641211
132c23c72252
141716064dd3
15c24089451
hex7403b63ed

31142405101 has 2 divisors, whose sum is σ = 31142405102. Its totient is φ = 31142405100.

The previous prime is 31142405093. The next prime is 31142405149. The reversal of 31142405101 is 10150424113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30902124100 + 240281001 = 175790^2 + 15501^2 .

It is a cyclic number.

It is not a de Polignac number, because 31142405101 - 23 = 31142405093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31142435101) 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, 15571202550 + 15571202551.

It is an arithmetic number, because the mean of its divisors is an integer number (15571202551).

Almost surely, 231142405101 is an apocalyptic number.

It is an amenable number.

31142405101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31142405101 is an equidigital number, since it uses as much as digits as its factorization.

31142405101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 31142405101 its reverse (10150424113), we get a palindrome (41292829214).

The spelling of 31142405101 in words is "thirty-one billion, one hundred forty-two million, four hundred five thousand, one hundred one".