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111331011020 = 225232964712899
BaseRepresentation
bin110011110101111011…
…0000110100111001100
3101122100211221100020112
41213223312012213030
53311001214323040
6123051133535152
711020612660025
oct1475366064714
9348324840215
10111331011020
11432404a9419
12196b06444b8
13a6631a20a8
145561c97c4c
152d68db1365
hex19ebd869cc

111331011020 has 96 divisors (see below), whose sum is σ = 252782208000. Its totient is φ = 41060628224.

The previous prime is 111331011019. The next prime is 111331011023. The reversal of 111331011020 is 20110133111.

It is a happy number.

It is a super-2 number, since 2×1113310110202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111331010986 and 111331011004.

It is not an unprimeable number, because it can be changed into a prime (111331011023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8624531 + ... + 8637429.

It is an arithmetic number, because the mean of its divisors is an integer number (2633148000).

Almost surely, 2111331011020 is an apocalyptic number.

111331011020 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 111331011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126391104000).

111331011020 is an abundant number, since it is smaller than the sum of its proper divisors (141451196980).

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

111331011020 is a wasteful number, since it uses less digits than its factorization.

111331011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 111331011020 its reverse (20110133111), we get a palindrome (131441144131).

The spelling of 111331011020 in words is "one hundred eleven billion, three hundred thirty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 647 667 1294 1334 2588 2668 3235 3335 6470 6670 12899 12940 13340 14881 18763 25798 29762 37526 51596 59524 64495 74405 75052 93815 128990 148810 187630 257980 296677 297620 374071 375260 431549 593354 748142 863098 1186708 1483385 1496284 1726196 1870355 2157745 2966770 3740710 4315490 5933540 7481420 8345653 8603633 8630980 16691306 17207266 33382612 34414532 41728265 43018165 83456530 86036330 166913060 172072660 191950019 242023937 383900038 484047874 767800076 959750095 968095748 1210119685 1919500190 2420239370 3839000380 4840478740 5566550551 11133101102 22266202204 27832752755 55665505510 111331011020