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31001111012309 is a prime number
BaseRepresentation
bin1110000110010000000100…
…01101011010001111010101
311001202200021201200110100012
413003020002031122033111
513030410233404343214
6145533414102330005
76346520300525204
oct703100215321725
9131680251613305
1031001111012309
119972551a72a39
123588281429905
13143b513943009
1479266719b23b
1538b623d4e03e
hex1c320235a3d5

31001111012309 has 2 divisors, whose sum is σ = 31001111012310. Its totient is φ = 31001111012308.

The previous prime is 31001111012299. The next prime is 31001111012321. The reversal of 31001111012309 is 90321011110013.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20400551789809 + 10600559222500 = 4516697^2 + 3255850^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31001111012309 is a prime.

It is a super-2 number, since 2×310011110123092 (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 (31001111014309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500555506154 + 15500555506155.

It is an arithmetic number, because the mean of its divisors is an integer number (15500555506155).

Almost surely, 231001111012309 is an apocalyptic number.

It is an amenable number.

31001111012309 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001111012309 is an equidigital number, since it uses as much as digits as its factorization.

31001111012309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 31001111012309 in words is "thirty-one trillion, one billion, one hundred eleven million, twelve thousand, three hundred nine".