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31113221101 is a prime number
BaseRepresentation
bin11100111110011111…
…100001001111101101
32222022100000101122021
4130332133201033231
51002204441033401
622143200150141
72151005005264
oct347637411755
988270011567
1031113221101
1112216669576
126043908351
132c1abc4801
1417122295db
15c217222a1
hex73e7e13ed

31113221101 has 2 divisors, whose sum is σ = 31113221102. Its totient is φ = 31113221100.

The previous prime is 31113221057. The next prime is 31113221137. The reversal of 31113221101 is 10112231113.

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., 26520448201 + 4592772900 = 162851^2 + 67770^2 .

It is a cyclic number.

It is not a de Polignac number, because 31113221101 - 225 = 31079666669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31113221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556610550 + 15556610551.

It is an arithmetic number, because the mean of its divisors is an integer number (15556610551).

Almost surely, 231113221101 is an apocalyptic number.

It is an amenable number.

31113221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113221101 is an equidigital number, since it uses as much as digits as its factorization.

31113221101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31113221101 its reverse (10112231113), we get a palindrome (41225452214).

It can be divided in two parts, 311132 and 21101, that added together give a palindrome (332233).

The spelling of 31113221101 in words is "thirty-one billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred one".