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311102310017117 is a prime number
BaseRepresentation
bin100011010111100100010011…
…0101011010110100001011101
31111210112002102212221122011202
41012233020212223112201131
5311234100012331021432
63021354232254325245
7122346254154523613
oct10657104653264135
91453462385848152
10311102310017117
1190143826647593
122aa858661b9825
1310478a8baaa028
1456b7609b476b3
1525e7741e52462
hex11af226ad685d

311102310017117 has 2 divisors, whose sum is σ = 311102310017118. Its totient is φ = 311102310017116.

The previous prime is 311102310017047. The next prime is 311102310017131. The reversal of 311102310017117 is 711710013201113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189009401228761 + 122092908788356 = 13748069^2 + 11049566^2 .

It is a cyclic number.

It is not a de Polignac number, because 311102310017117 - 224 = 311102293239901 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 311102310017117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311102310017167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155551155008558 + 155551155008559.

It is an arithmetic number, because the mean of its divisors is an integer number (155551155008559).

Almost surely, 2311102310017117 is an apocalyptic number.

It is an amenable number.

311102310017117 is a deficient number, since it is larger than the sum of its proper divisors (1).

311102310017117 is an equidigital number, since it uses as much as digits as its factorization.

311102310017117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 29.

The spelling of 311102310017117 in words is "three hundred eleven trillion, one hundred two billion, three hundred ten million, seventeen thousand, one hundred seventeen".