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312022232220431 = 17907129115674839
BaseRepresentation
bin100011011110010000101011…
…0010100000100001100001111
31111220210000220211212111200002
41012330201112110010030033
5311344133012422023211
63023341011251554515
7122502601534322555
oct10674412624041417
91456700824774602
10312022232220431
119046898175a617
122abb3bba2bba3b
1310514754aa2505
145709d56d63bd5
15261163347e03b
hex11bc85650430f

312022232220431 has 16 divisors (see below), whose sum is σ = 330996943768320. Its totient is φ = 293116962625920.

The previous prime is 312022232220371. The next prime is 312022232220437. The reversal of 312022232220431 is 134022232220213.

It is a cyclic number.

It is not a de Polignac number, because 312022232220431 - 210 = 312022232219407 is a prime.

It is a super-2 number, since 2×3120222322204312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312022232220394 and 312022232220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022232220437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12068510 + ... + 27743348.

It is an arithmetic number, because the mean of its divisors is an integer number (20687308985520).

Almost surely, 2312022232220431 is an apocalyptic number.

312022232220431 is a deficient number, since it is larger than the sum of its proper divisors (18974711547889).

312022232220431 is a wasteful number, since it uses less digits than its factorization.

312022232220431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677054.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312022232220431 its reverse (134022232220213), we get a palindrome (446044464440644).

The spelling of 312022232220431 in words is "three hundred twelve trillion, twenty-two billion, two hundred thirty-two million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 17 907 1291 15419 21947 1170937 15674839 19905929 266472263 14217078973 20236217149 241690342541 344015691533 18354248954143 312022232220431