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312134223424023 = 3272111319298982871
BaseRepresentation
bin100011011111000100110100…
…1100000100110101000010111
31111221011201222201002002212100
41012332021221200212220113
5311403001342144032043
63023504252132053143
7122513645015000400
oct10676115140465027
91457151881062770
10312134223424023
1190501420889430
122b011853a641b3
13105221919869a0
14571153c7929a7
1526144da29ccd3
hex11be269826a17

312134223424023 has 288 divisors, whose sum is σ = 670955861721600. Its totient is φ = 136907562355200.

The previous prime is 312134223424003. The next prime is 312134223424039. The reversal of 312134223424023 is 320424322431213.

312134223424023 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 4 + 223 + 424 + 0 + 2 + 3 = 666.

It is not a de Polignac number, because 312134223424023 - 25 = 312134223423991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312134223424003) 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 in 287 ways as a sum of consecutive naturals, for example, 30256278 + ... + 39239148.

It is an arithmetic number, because the mean of its divisors is an integer number (2329707853200).

Almost surely, 2312134223424023 is an apocalyptic number.

312134223424023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

312134223424023 is an abundant number, since it is smaller than the sum of its proper divisors (358821638297577).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312134223424023 is a wasteful number, since it uses less digits than its factorization.

312134223424023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982963 (or 8982953 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312134223424023 its reverse (320424322431213), we get a palindrome (632558545855236).

The spelling of 312134223424023 in words is "three hundred twelve trillion, one hundred thirty-four billion, two hundred twenty-three million, four hundred twenty-four thousand, twenty-three".