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111301232102120 = 235231991309946411
BaseRepresentation
bin11001010011101001010110…
…011001110000101011101000
3112121002021221020022111201002
4121103221112121300223220
5104042024410404231440
61032415025151414132
732305151201061554
oct3123512631605350
9477067836274632
10111301232102120
11325116509a49a5
1210596b11524348
134a1487971cab8
141d6b018db4864
15cd03018b5115
hex653a56670ae8

111301232102120 has 128 divisors (see below), whose sum is σ = 262654790400000. Its totient is φ = 42366677633280.

The previous prime is 111301232102089. The next prime is 111301232102141. The reversal of 111301232102120 is 21201232103111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111301232102092 and 111301232102101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2398141715 + ... + 2398188125.

It is an arithmetic number, because the mean of its divisors is an integer number (2051990550000).

Almost surely, 2111301232102120 is an apocalyptic number.

111301232102120 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 111301232102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131327395200000).

111301232102120 is an abundant number, since it is smaller than the sum of its proper divisors (151353558297880).

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

111301232102120 is a wasteful number, since it uses less digits than its factorization.

111301232102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59743 (or 59739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 111301232102120 its reverse (21201232103111), we get a palindrome (132502464205231).

Subtracting from 111301232102120 its reverse (21201232103111), we obtain a palindrome (90099999999009).

The spelling of 111301232102120 in words is "one hundred eleven trillion, three hundred one billion, two hundred thirty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 199 230 398 460 796 920 995 1592 1990 3980 4577 7960 9154 13099 18308 22885 26198 36616 45770 46411 52396 65495 91540 92822 104792 130990 183080 185644 232055 261980 301277 371288 464110 523960 602554 928220 1067453 1205108 1506385 1856440 2134906 2410216 2606701 3012770 4269812 5213402 5337265 6025540 8539624 9235789 10426804 10674530 12051080 13033505 18471578 20853608 21349060 26067010 36943156 42698120 46178945 52134020 59954123 73886312 92357890 104268040 119908246 184715780 212423147 239816492 299770615 369431560 424846294 479632984 599541230 607937689 849692588 1062115735 1199082460 1215875378 1699385176 2124231470 2398164920 2431750756 3039688445 4248462940 4863501512 6079376890 8496925880 12158753780 13982566847 24317507560 27965133694 55930267388 69912834235 111860534776 120979600111 139825668470 241959200222 279651336940 483918400444 559302673880 604898000555 967836800888 1209796001110 2419592002220 2782530802553 4839184004440 5565061605106 11130123210212 13912654012765 22260246420424 27825308025530 55650616051060 111301232102120