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31221111101 is a prime number
BaseRepresentation
bin11101000100111011…
…000101100100111101
32222120212000202220012
4131010323011210331
51002420101023401
622202012433005
72153455031345
oct350473054475
988525022805
1031221111101
1112271559964
126073a78765
132c3736b64b
1417226b1d25
15c2ae348bb
hex744ec593d

31221111101 has 2 divisors, whose sum is σ = 31221111102. Its totient is φ = 31221111100.

The previous prime is 31221111083. The next prime is 31221111107. The reversal of 31221111101 is 10111112213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31134602500 + 86508601 = 176450^2 + 9301^2 .

It is a cyclic number.

It is not a de Polignac number, because 31221111101 - 26 = 31221111037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31221111107) 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, 15610555550 + 15610555551.

It is an arithmetic number, because the mean of its divisors is an integer number (15610555551).

Almost surely, 231221111101 is an apocalyptic number.

It is an amenable number.

31221111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31221111101 is an equidigital number, since it uses as much as digits as its factorization.

31221111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 31221111101 its reverse (10111112213), we get a palindrome (41332223314).

The spelling of 31221111101 in words is "thirty-one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred one".