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23301320123312 = 24711191451686039
BaseRepresentation
bin1010100110001010000101…
…11010001010001110110000
310001111120210001201000120222
411103011002322022032300
511023232100422421222
6121320251221352212
74623315302043350
oct523050272121660
9101446701630528
1023301320123312
117474041822210
122743b50b68668
1310003c72a4a9a
145a7b0b734b60
152a61c2b01542
hex153142e8a3b0

23301320123312 has 160 divisors (see below), whose sum is σ = 59289662361600. Its totient is φ = 8594684064000.

The previous prime is 23301320123309. The next prime is 23301320123339. The reversal of 23301320123312 is 21332102310332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33621989 + ... + 34308027.

It is an arithmetic number, because the mean of its divisors is an integer number (370560389760).

Almost surely, 223301320123312 is an apocalyptic number.

23301320123312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23301320123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29644831180800).

23301320123312 is an abundant number, since it is smaller than the sum of its proper divisors (35988342238288).

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

23301320123312 is a wasteful number, since it uses less digits than its factorization.

23301320123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687535 (or 687529 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 23301320123312 its reverse (21332102310332), we get a palindrome (44633422433644).

The spelling of 23301320123312 in words is "twenty-three trillion, three hundred one billion, three hundred twenty million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1451 1463 1672 2128 2902 2926 3344 5804 5852 10157 11608 11704 15961 20314 23216 23408 27569 31922 40628 55138 63844 81256 110276 111727 127688 162512 192983 220552 223454 255376 303259 385966 441104 446908 606518 686039 771932 893816 1213036 1372078 1543864 1787632 2122813 2426072 2744156 3087728 4245626 4802273 4852144 5488312 7546429 8491252 9604546 10976624 13034741 15092858 16982504 19209092 26069482 30185716 33965008 38418184 52138964 52825003 60371432 76836368 91243187 104277928 105650006 120742864 143382151 182486374 208555856 211300012 286764302 364972748 422600024 573528604 729945496 845200048 995442589 1003675057 1147057208 1459890992 1990885178 2007350114 2294114416 3981770356 4014700228 6968098123 7963540712 8029400456 10949868479 13936196246 15927081424 16058800912 18913409191 21899736958 27872392492 37826818382 43799473916 55744784984 75653636764 76649079353 87598947832 111489569968 132393864337 151307273528 153298158706 175197895664 208047501101 264787728674 302614547056 306596317412 416095002202 529575457348 613192634824 832190004404 1059150914696 1226385269648 1456332507707 1664380008808 2118301829392 2912665015414 3328760017616 5825330030828 11650660061656 23301320123312