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312023032010013 = 317291913313337007
BaseRepresentation
bin100011011110010001000010…
…1111111000001010100011101
31111220210002222120211000201110
41012330202011333001110131
5311344141132143310023
63023341222502132233
7122502630415401612
oct10674420577012435
91456702876730643
10312023032010013
1190469252167345
122abb41a2121079
13105148516b069c
145709dd1276509
15261167d7b3a93
hex11bc885fc151d

312023032010013 has 64 divisors (see below), whose sum is σ = 459462753976320. Its totient is φ = 187470327475200.

The previous prime is 312023032009991. The next prime is 312023032010017. The reversal of 312023032010013 is 310010230320213.

It is not a de Polignac number, because 312023032010013 - 25 = 312023032009981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312023032010017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91835356 + ... + 95172362.

It is an arithmetic number, because the mean of its divisors is an integer number (7179105530880).

Almost surely, 2312023032010013 is an apocalyptic number.

It is an amenable number.

312023032010013 is a deficient number, since it is larger than the sum of its proper divisors (147439721966307).

312023032010013 is a wasteful number, since it uses less digits than its factorization.

312023032010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337578.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312023032010013 its reverse (310010230320213), we get a palindrome (622033262330226).

The spelling of 312023032010013 in words is "three hundred twelve trillion, twenty-three billion, thirty-two million, ten thousand, thirteen".

Divisors: 1 3 17 29 51 87 191 331 493 573 993 1479 3247 5539 5627 9599 9741 16617 16881 28797 63221 94163 163183 189663 282489 489549 1074757 1833409 3224271 3337007 5500227 10011021 31167953 56729119 93503859 96773203 170187357 290319609 637368337 1104549317 1645144451 1912105011 3313647951 4935433353 10835261729 18483681773 18777338389 32031930193 32505785187 55451045319 56332015167 96095790579 210968919547 314222590141 544542813281 632906758641 942667770423 1633628439843 3586471632299 6118098666863 10759414896897 18354296000589 104007677336671 312023032010013