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313024212123144 = 2333071009286114717
BaseRepresentation
bin100011100101100011010000…
…0111110000011111000001000
31112001022211012112211102002020
41013023012200332003320020
5312012042041300420034
63025425200550404440
7122635152533060664
oct10713064076037010
91461284175742066
10313024212123144
1190814906245745
122b136233360720
13105880972c9902
14574264a3138a4
15262c728938249
hex11cb1a0f83e08

313024212123144 has 128 divisors (see below), whose sum is σ = 786215802556800. Its totient is φ = 103855083171840.

The previous prime is 313024212123097. The next prime is 313024212123167. The reversal of 313024212123144 is 441321212420313.

It is a super-2 number, since 2×3130242121231442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21269559274 + ... + 21269573990.

It is an arithmetic number, because the mean of its divisors is an integer number (6142310957475).

Almost surely, 2313024212123144 is an apocalyptic number.

It is an amenable number.

313024212123144 is an abundant number, since it is smaller than the sum of its proper divisors (473191590433656).

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

313024212123144 is a wasteful number, since it uses less digits than its factorization.

313024212123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18903 (or 18899 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 313024212123144 its reverse (441321212420313), we get a palindrome (754345424543457).

The spelling of 313024212123144 in words is "three hundred thirteen trillion, twenty-four billion, two hundred twelve million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 307 614 921 1009 1228 1842 2018 2456 2861 3027 3684 4036 5722 6054 7368 8072 8583 11444 12108 14717 17166 22888 24216 29434 34332 44151 58868 68664 88302 117736 176604 309763 353208 619526 878327 929289 1239052 1756654 1858578 2478104 2634981 2886749 3513308 3717156 4518119 5269962 5773498 7026616 7434312 8660247 9036238 10539924 11546996 13554357 14849453 17320494 18072476 21079848 23093992 27108714 29698906 34640988 36144952 42105337 44548359 54217428 59397812 69281976 84210674 89096718 108434856 118795624 126316011 168421348 178193436 252632022 336842696 356386872 505264044 886231943 1010528088 1772463886 2658695829 3544927772 4558782071 5317391658 7089855544 9117564142 10634783316 12926338459 13676346213 18235128284 21269566632 25852676918 27352692426 36470256568 38779015377 42484285033 51705353836 54705384852 77558030754 84968570066 103410707672 109410769704 127452855099 155116061508 169937140132 254905710198 310232123016 339874280264 509811420396 1019622840792 13042675505131 26085351010262 39128026515393 52170702020524 78256053030786 104341404041048 156512106061572 313024212123144