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31203102101 is a prime number
BaseRepresentation
bin11101000011110110…
…011000110110010101
32222112121010211012012
4131003312120312111
51002400443231401
622200130434005
72153145664103
oct350366306625
988477124165
1031203102101
1112262379496
126069a32905
132c33704532
141720144c73
15c295788bb
hex743d98d95

31203102101 has 2 divisors, whose sum is σ = 31203102102. Its totient is φ = 31203102100.

The previous prime is 31203102079. The next prime is 31203102103. The reversal of 31203102101 is 10120130213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26616291025 + 4586811076 = 163145^2 + 67726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31203102101 is a prime.

It is a super-2 number, since 2×312031021012 (a number of 22 digits) contains 22 as substring.

Together with 31203102103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31203102103) 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, 15601551050 + 15601551051.

It is an arithmetic number, because the mean of its divisors is an integer number (15601551051).

Almost surely, 231203102101 is an apocalyptic number.

It is an amenable number.

31203102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31203102101 is an equidigital number, since it uses as much as digits as its factorization.

31203102101 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 14.

Adding to 31203102101 its reverse (10120130213), we get a palindrome (41323232314).

The spelling of 31203102101 in words is "thirty-one billion, two hundred three million, one hundred two thousand, one hundred one".