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12332023414300 = 22522947491184271
BaseRepresentation
bin1011001101110100010111…
…0111111111111000011100
31121122221002220201010112001
42303131011313333320130
53104021440443224200
642121130420052044
72411650015324642
oct263350567777034
947587086633461
1012332023414300
113a24a887a4257
121472041834024
136b5b9bb68145
14308c31b9b192
15165bb6b9376a
hexb3745dffe1c

12332023414300 has 144 divisors (see below), whose sum is σ = 28330006763520. Its totient is φ = 4651859296000.

The previous prime is 12332023414283. The next prime is 12332023414327. The reversal of 12332023414300 is 341432023321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66831165 + ... + 67015435.

It is an arithmetic number, because the mean of its divisors is an integer number (196736158080).

Almost surely, 212332023414300 is an apocalyptic number.

12332023414300 is a gapful number since it is divisible by the number (10) 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 12332023414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165003381760).

12332023414300 is an abundant number, since it is smaller than the sum of its proper divisors (15997983349220).

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

12332023414300 is a wasteful number, since it uses less digits than its factorization.

12332023414300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184852 (or 184845 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 12332023414300 its reverse (341432023321), we get a palindrome (12673455437621).

The spelling of 12332023414300 in words is "twelve trillion, three hundred thirty-two billion, twenty-three million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 47 50 58 94 100 116 145 188 235 290 470 491 580 725 940 982 1175 1363 1450 1964 2350 2455 2726 2900 4700 4910 5452 6815 9820 12275 13630 14239 23077 24550 27260 28478 34075 46154 49100 56956 68150 71195 92308 115385 136300 142390 184271 230770 284780 355975 368542 461540 576925 669233 711950 737084 921355 1153850 1338466 1423900 1842710 2307700 2676932 3346165 3685420 4606775 5343859 6692330 8660737 9213550 10687718 13384660 16730825 17321474 18427100 21375436 26719295 33461650 34642948 43303685 53438590 66923300 86607370 90477061 106877180 133596475 173214740 180954122 216518425 251161373 267192950 361908244 433036850 452385305 502322746 534385900 866073700 904770610 1004645492 1255806865 1809541220 2261926525 2511613730 2623834769 4252421867 4523853050 5023227460 5247669538 6279034325 8504843734 9047706100 10495339076 12558068650 13119173845 17009687468 21262109335 25116137300 26238347690 42524218670 52476695380 65595869225 85048437340 106310546675 123320234143 131191738450 212621093350 246640468286 262383476900 425242186700 493280936572 616601170715 1233202341430 2466404682860 3083005853575 6166011707150 12332023414300