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312402310030933 is a prime number
BaseRepresentation
bin100011100001000001101010…
…0101101110110011001010101
31111222010100222010022210100121
41013002003110231312121111
5311421344412331442213
63024231350122311541
7122542215320363503
oct10702032455663125
91458110863283317
10312402310030933
11905a50917790a1
122b0557b16585b1
1310541546baa835
1457204d12d7673
15261b47ad7b88d
hex11c20d4b76655

312402310030933 has 2 divisors, whose sum is σ = 312402310030934. Its totient is φ = 312402310030932.

The previous prime is 312402310030903. The next prime is 312402310031081. The reversal of 312402310030933 is 339030013204213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256635497903409 + 55766812127524 = 16019847^2 + 7467718^2 .

It is a cyclic number.

It is not a de Polignac number, because 312402310030933 - 225 = 312402276476501 is a prime.

It is a super-2 number, since 2×3124023100309332 (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 (312402310030903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156201155015466 + 156201155015467.

It is an arithmetic number, because the mean of its divisors is an integer number (156201155015467).

Almost surely, 2312402310030933 is an apocalyptic number.

It is an amenable number.

312402310030933 is a deficient number, since it is larger than the sum of its proper divisors (1).

312402310030933 is an equidigital number, since it uses as much as digits as its factorization.

312402310030933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 312402310030933 in words is "three hundred twelve trillion, four hundred two billion, three hundred ten million, thirty thousand, nine hundred thirty-three".