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311431244355877 is a prime number
BaseRepresentation
bin100011011001111101011110…
…0101100010001100100100101
31111211200112110212221100220011
41012303322330230101210211
5311304442142023342002
63022205312155010221
7122412110362341112
oct10663727454214445
91454615425840804
10311431244355877
1190260281496848
122ab19565739971
13104a0ac0283b39
1456c94d1973909
1526010948d88d7
hex11b3ebcb11925

311431244355877 has 2 divisors, whose sum is σ = 311431244355878. Its totient is φ = 311431244355876.

The previous prime is 311431244355841. The next prime is 311431244355883. The reversal of 311431244355877 is 778553442134113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195457428010881 + 115973816344996 = 13980609^2 + 10769114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311431244355877 is a prime.

It is a super-3 number, since 3×3114312443558773 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311431244355277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155715622177938 + 155715622177939.

It is an arithmetic number, because the mean of its divisors is an integer number (155715622177939).

Almost surely, 2311431244355877 is an apocalyptic number.

It is an amenable number.

311431244355877 is a deficient number, since it is larger than the sum of its proper divisors (1).

311431244355877 is an equidigital number, since it uses as much as digits as its factorization.

311431244355877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 33868800, while the sum is 58.

The spelling of 311431244355877 in words is "three hundred eleven trillion, four hundred thirty-one billion, two hundred forty-four million, three hundred fifty-five thousand, eight hundred seventy-seven".