Search a number
-
+
31212103183837 is a prime number
BaseRepresentation
bin1110001100011001000100…
…10100101010110111011101
311002111211220010200022102121
413012030202110222313131
513042334341403340322
6150214350421022541
76401000004431422
oct706144224526735
9132454803608377
1031212103183837
119a43a84605314
123601146254a51
13145539a3784a4
1479c9610b1d49
15391d72317ec7
hex1c632252addd

31212103183837 has 2 divisors, whose sum is σ = 31212103183838. Its totient is φ = 31212103183836.

The previous prime is 31212103183769. The next prime is 31212103183847. The reversal of 31212103183837 is 73838130121213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29385007590436 + 1827095593401 = 5420794^2 + 1351701^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212103183837 - 215 = 31212103151069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31212103183793 and 31212103183802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31212103183847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606051591918 + 15606051591919.

It is an arithmetic number, because the mean of its divisors is an integer number (15606051591919).

Almost surely, 231212103183837 is an apocalyptic number.

It is an amenable number.

31212103183837 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212103183837 is an equidigital number, since it uses as much as digits as its factorization.

31212103183837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 31212103183837 in words is "thirty-one trillion, two hundred twelve billion, one hundred three million, one hundred eighty-three thousand, eight hundred thirty-seven".