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31220102101 is a prime number
BaseRepresentation
bin11101000100110111…
…001111001111010101
32222120210010111210211
4131010313033033111
51002414321231401
622201535045421
72153443326556
oct350467171725
988523114724
1031220102101
1112270a2a881
126073670871
132c370a72c6
1417224cc32d
15c2acd5951
hex744dcf3d5

31220102101 has 2 divisors, whose sum is σ = 31220102102. Its totient is φ = 31220102100.

The previous prime is 31220102099. The next prime is 31220102113. The reversal of 31220102101 is 10120102213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23516529201 + 7703572900 = 153351^2 + 87770^2 .

It is a cyclic number.

It is not a de Polignac number, because 31220102101 - 21 = 31220102099 is a prime.

It is a super-2 number, since 2×312201021012 (a number of 22 digits) contains 22 as substring.

Together with 31220102099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31220102161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15610051050 + 15610051051.

It is an arithmetic number, because the mean of its divisors is an integer number (15610051051).

Almost surely, 231220102101 is an apocalyptic number.

It is an amenable number.

31220102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31220102101 is an equidigital number, since it uses as much as digits as its factorization.

31220102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 31220102101 its reverse (10120102213), we get a palindrome (41340204314).

The spelling of 31220102101 in words is "thirty-one billion, two hundred twenty million, one hundred two thousand, one hundred one".