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232313341421120 = 2653190592585129
BaseRepresentation
bin110100110100100110101010…
…001100010010011001000000
31010110112221100012100002221212
4310310212222030102121000
5220422210210400433440
62142031135315505252
766635041111446101
oct6464465214223100
91113487305302855
10232313341421120
1168027597921653
122207ba6bbb8228
139c82091b041cb
1441520508043a8
151bcd00a8e8465
hexd349aa312640

232313341421120 has 112 divisors (see below), whose sum is σ = 571104437875200. Its totient is φ = 89917783388160.

The previous prime is 232313341421087. The next prime is 232313341421141. The reversal of 232313341421120 is 21124143313232.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 88572716 + ... + 91157844.

Almost surely, 2232313341421120 is an apocalyptic number.

232313341421120 is a gapful number since it is divisible by the number (20) 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 232313341421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285552218937600).

232313341421120 is an abundant number, since it is smaller than the sum of its proper divisors (338791096454080).

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

232313341421120 is a wasteful number, since it uses less digits than its factorization.

232313341421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594236 (or 2594226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 232313341421120 its reverse (21124143313232), we get a palindrome (253437484734352).

The spelling of 232313341421120 in words is "two hundred thirty-two trillion, three hundred thirteen billion, three hundred forty-one million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9059 9920 18118 36236 45295 72472 90590 144944 181180 280829 289888 362360 561658 579776 724720 1123316 1404145 1449440 2246632 2585129 2808290 2898880 4493264 5170258 5616580 8986528 10340516 11233160 12925645 17973056 20681032 22466320 25851290 41362064 44932640 51702580 80138999 82724128 89865280 103405160 160277998 165448256 206810320 320555996 400694995 413620640 641111992 801389990 827241280 1282223984 1602779980 2564447968 3205559960 5128895936 6411119920 12822239840 23418683611 25644479680 46837367222 93674734444 117093418055 187349468888 234186836110 374698937776 468373672220 725979191941 749397875552 936747344440 1451958383882 1498795751104 1873494688880 2903916767764 3629895959705 3746989377760 5807833535528 7259791919410 7493978755520 11615667071056 14519583838820 23231334142112 29039167677640 46462668284224 58078335355280 116156670710560 232313341421120