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312332133023213 = 23231731092393591
BaseRepresentation
bin100011100000100000111110…
…1110101110011110111101101
31111221212122211100220102112112
41013001001331311303313231
5311414222202023220323
63024135222345413405
7122534152263560402
oct10701017565636755
91457778740812475
10312332133023213
119057834a678556
122b04408749a265
1310537a41b992b4
14571ad54da62a9
15261971ee54178
hex11c107dd73ded

312332133023213 has 48 divisors (see below), whose sum is σ = 344786012820480. Its totient is φ = 282538597651200.

The previous prime is 312332133023179. The next prime is 312332133023219. The reversal of 312332133023213 is 312320331233213.

It is a happy number.

It is not a de Polignac number, because 312332133023213 - 28 = 312332133022957 is a prime.

It is a super-2 number, since 2×3123321330232132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312332133023213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332133023219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129290048 + ... + 131683638.

It is an arithmetic number, because the mean of its divisors is an integer number (7183041933760).

Almost surely, 2312332133023213 is an apocalyptic number.

It is an amenable number.

312332133023213 is a deficient number, since it is larger than the sum of its proper divisors (32453879797267).

312332133023213 is a wasteful number, since it uses less digits than its factorization.

312332133023213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393850 (or 2393827 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 312332133023213 its reverse (312320331233213), we get a palindrome (624652464256426).

The spelling of 312332133023213 in words is "three hundred twelve trillion, three hundred thirty-two billion, one hundred thirty-three million, twenty-three thousand, two hundred thirteen".

Divisors: 1 23 31 73 109 529 713 1679 2263 2507 3379 7957 16399 38617 52049 57661 77717 183011 246667 1197127 1787491 2393591 4209253 5673341 55052593 74201321 130486843 174732143 260901419 1266209639 1706630383 4018839289 5416696433 6000732637 8087943989 19045803587 39252498809 92433303647 124584017959 138016850651 186022711747 438053482501 590419911197 2865432413057 4278522370181 10075230097523 13579657957531 312332133023213