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31113111101 is a prime number
BaseRepresentation
bin11100111110011111…
…000110011000111101
32222022022210210202012
4130332133012120331
51002204424023401
622143153541005
72151004036502
oct347637063075
988268723665
1031113111101
11122165a3966
126043874765
132c1ab86717
1417121db4a9
15c216ee8bb
hex73e7c663d

31113111101 has 2 divisors, whose sum is σ = 31113111102. Its totient is φ = 31113111100.

The previous prime is 31113111053. The next prime is 31113111109. The reversal of 31113111101 is 10111131113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16922107225 + 14191003876 = 130085^2 + 119126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31113111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31113111109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15556555550 + 15556555551.

It is an arithmetic number, because the mean of its divisors is an integer number (15556555551).

Almost surely, 231113111101 is an apocalyptic number.

It is an amenable number.

31113111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113111101 is an equidigital number, since it uses as much as digits as its factorization.

31113111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 31113111101 its reverse (10111131113), we get a palindrome (41224242214).

The spelling of 31113111101 in words is "thirty-one billion, one hundred thirteen million, one hundred eleven thousand, one hundred one".