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311331101133119 is a prime number
BaseRepresentation
bin100011011001001110110101…
…1101100001100100100111111
31111211022221222201210112221212
41012302131223230030210333
5311301322043342224434
63022051311114115035
7122401633626110414
oct10662355354144477
91454287881715855
10311331101133119
1190221862228331
122ab02077a1ba7b
1310494520ba9202
1456c47118b010b
1525ed682d0c8ce
hex11b276bb0c93f

311331101133119 has 2 divisors, whose sum is σ = 311331101133120. Its totient is φ = 311331101133118.

The previous prime is 311331101133113. The next prime is 311331101133163. The reversal of 311331101133119 is 911331101133113.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 311331101133119 - 224 = 311331084355903 is a prime.

It is a super-2 number, since 2×3113311011331192 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311331101133113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155665550566559 + 155665550566560.

It is an arithmetic number, because the mean of its divisors is an integer number (155665550566560).

Almost surely, 2311331101133119 is an apocalyptic number.

311331101133119 is a deficient number, since it is larger than the sum of its proper divisors (1).

311331101133119 is an equidigital number, since it uses as much as digits as its factorization.

311331101133119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 32.

The spelling of 311331101133119 in words is "three hundred eleven trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred nineteen".