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31313442101 is a prime number
BaseRepresentation
bin11101001010011011…
…010011010100110101
32222211021202200012212
4131022123103110311
51003112220121401
622215111423205
72155655603054
oct351233232465
988737680185
1031313442101
1112309692577
12609a984b05
132c50528586
141730a6839b
15c340c1dbb
hex74a6d3535

31313442101 has 2 divisors, whose sum is σ = 31313442102. Its totient is φ = 31313442100.

The previous prime is 31313442089. The next prime is 31313442107. The reversal of 31313442101 is 10124431313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30284700625 + 1028741476 = 174025^2 + 32074^2 .

It is a cyclic number.

It is not a de Polignac number, because 31313442101 - 230 = 30239700277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31313442107) 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, 15656721050 + 15656721051.

It is an arithmetic number, because the mean of its divisors is an integer number (15656721051).

Almost surely, 231313442101 is an apocalyptic number.

It is an amenable number.

31313442101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313442101 is an equidigital number, since it uses as much as digits as its factorization.

31313442101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 31313442101 its reverse (10124431313), we get a palindrome (41437873414).

The spelling of 31313442101 in words is "thirty-one billion, three hundred thirteen million, four hundred forty-two thousand, one hundred one".