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31111101101309 is a prime number
BaseRepresentation
bin1110001001011100111100…
…01000010011010011111101
311002011012012010102220101012
413010232132020103103331
513034211013340220214
6150100124215525005
76360463042046465
oct704563610232375
9132135163386335
1031111101101309
119a05164563839
1235a5658989765
1314489c207ca08
14797adcd20ba5
1538e41013a03e
hex1c4b9e2134fd

31111101101309 has 2 divisors, whose sum is σ = 31111101101310. Its totient is φ = 31111101101308.

The previous prime is 31111101101299. The next prime is 31111101101321. The reversal of 31111101101309 is 90310110111113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28194007898809 + 2917093202500 = 5309803^2 + 1707950^2 .

It is a cyclic number.

It is not a de Polignac number, because 31111101101309 - 220 = 31111100052733 is a prime.

It is a super-2 number, since 2×311111011013092 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31111101101389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15555550550654 + 15555550550655.

It is an arithmetic number, because the mean of its divisors is an integer number (15555550550655).

Almost surely, 231111101101309 is an apocalyptic number.

It is an amenable number.

31111101101309 is a deficient number, since it is larger than the sum of its proper divisors (1).

31111101101309 is an equidigital number, since it uses as much as digits as its factorization.

31111101101309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 31111101101309 in words is "thirty-one trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, three hundred nine".