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111232232320 = 2751118187293
BaseRepresentation
bin110011110010111110…
…1010010101110000000
3101122002222001212100011
41213211331102232000
53310300422413240
6123033244434304
711015303242336
oct1474575225600
9348088055304
10111232232320
114319a771530
1219683548994
13a648898461
145552b03b56
152d6039d6ea
hex19e5f52b80

111232232320 has 128 divisors (see below), whose sum is σ = 291694646880. Its totient is φ = 40224153600.

The previous prime is 111232232303. The next prime is 111232232329. The reversal of 111232232320 is 23232232111.

111232232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 111232232291 and 111232232300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111232232329) by changing a digit.

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, 1230594 + ... + 1317886.

Almost surely, 2111232232320 is an apocalyptic number.

111232232320 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 111232232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145847323440).

111232232320 is an abundant number, since it is smaller than the sum of its proper divisors (180462414560).

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

111232232320 is a wasteful number, since it uses less digits than its factorization.

111232232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87504 (or 87492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 111232232320 its reverse (23232232111), we get a palindrome (134464464431).

The spelling of 111232232320 in words is "one hundred eleven billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 181 220 320 352 362 440 640 704 724 880 905 1408 1448 1760 1810 1991 2896 3520 3620 3982 5792 7040 7240 7964 9955 11584 14480 15928 19910 23168 28960 31856 39820 57920 63712 79640 87293 115840 127424 159280 174586 254848 318560 349172 436465 637120 698344 872930 960223 1274240 1396688 1745860 1920446 2793376 3491720 3840892 4801115 5586752 6983440 7681784 9602230 11173504 13966880 15363568 15800033 19204460 27933760 30727136 31600066 38408920 55867520 61454272 63200132 76817840 79000165 122908544 126400264 153635680 158000330 173800363 252800528 307271360 316000660 347600726 505601056 614542720 632001320 695201452 869001815 1011202112 1264002640 1390402904 1738003630 2022404224 2528005280 2780805808 3476007260 5056010560 5561611616 6952014520 10112021120 11123223232 13904029040 22246446464 27808058080 55616116160 111232232320