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123313303420032 = 27311231269282191
BaseRepresentation
bin11100000010011100011101…
…101001010111110010000000
3121011121122012010201002122010
4130002130131221113302000
5112130331121133420112
61114133203300012520
734655043420444015
oct3402343551276200
9534548163632563
10123313303420032
11363229730115a0
12119b6b3b991140
1353a6518c8483b
142264577c5770c
15e3c9de44263c
hex70271da57c80

123313303420032 has 128 divisors (see below), whose sum is σ = 372864336721920. Its totient is φ = 35742986470400.

The previous prime is 123313303420019. The next prime is 123313303420133. The reversal of 123313303420032 is 230024303313321.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 634543944 + ... + 634738247.

It is an arithmetic number, because the mean of its divisors is an integer number (2913002630640).

Almost surely, 2123313303420032 is an apocalyptic number.

123313303420032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123313303420032 is an abundant number, since it is smaller than the sum of its proper divisors (249551033301888).

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

123313303420032 is a wasteful number, since it uses less digits than its factorization.

123313303420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269282242 (or 1269282230 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 123313303420032 its reverse (230024303313321), we get a palindrome (353337606733353).

The spelling of 123313303420032 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 97152 1269282191 2538564382 3807846573 5077128764 7615693146 10154257528 13962104101 15231386292 20308515056 27924208202 29193490393 30462772584 40617030112 41886312303 55848416404 58386980786 60925545168 81234060224 83772624606 87580471179 111696832808 116773961572 121851090336 162468120448 167545249212 175160942358 223393665616 233547923144 243702180672 321128394323 335090498424 350321884716 446787331232 467095846288 487404361344 642256788646 670180996848 700643769432 893574662464 934191692576 963385182969 1284513577292 1340361993696 1401287538864 1787149324928 1868383385152 1926770365938 2569027154584 2680723987392 2802575077728 3736766770304 3853540731876 5138054309168 5361447974784 5605150155456 7707081463752 10276108618336 11210300310912 15414162927504 20552217236672 30828325855008 41104434473344 61656651710016 123313303420032