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311100550001149 is a prime number
BaseRepresentation
bin100011010111100011011110…
…1110001011011000111111101
31111210111220220020011120011011
41012233012331301123013331
5311234032411300014044
63021353341503155221
7122346162433606666
oct10657067561330775
91453456806146134
10311100550001149
1190143003112537
122aa854548a5b11
131047886b27946c
1456b74c00bc36d
1525e768c696134
hex11af1bdc5b1fd

311100550001149 has 2 divisors, whose sum is σ = 311100550001150. Its totient is φ = 311100550001148.

The previous prime is 311100550001113. The next prime is 311100550001203. The reversal of 311100550001149 is 941100055001113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186336341357049 + 124764208644100 = 13650507^2 + 11169790^2 .

It is a cyclic number.

It is not a de Polignac number, because 311100550001149 - 221 = 311100547903997 is a prime.

It is a super-2 number, since 2×3111005500011492 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311100550001149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311100550001849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155550275000574 + 155550275000575.

It is an arithmetic number, because the mean of its divisors is an integer number (155550275000575).

Almost surely, 2311100550001149 is an apocalyptic number.

It is an amenable number.

311100550001149 is a deficient number, since it is larger than the sum of its proper divisors (1).

311100550001149 is an equidigital number, since it uses as much as digits as its factorization.

311100550001149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 311100550001149 in words is "three hundred eleven trillion, one hundred billion, five hundred fifty million, one thousand, one hundred forty-nine".