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111021312234 = 23727110395119
BaseRepresentation
bin110011101100101100…
…0101100100011101010
3101121120021012000101010
41213121120230203222
53304332423442414
6123000312004350
711010132404100
oct1473130544352
9347507160333
10111021312234
11430a1700108
12196249906b6
13a613c89881
145532abbc70
152d4bad8959
hex19d962c8ea

111021312234 has 96 divisors (see below), whose sum is σ = 262235750400. Its totient is φ = 31237405920.

The previous prime is 111021312229. The next prime is 111021312251. The reversal of 111021312234 is 432213120111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 111021312234.

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 47 ways as a sum of consecutive naturals, for example, 21685527 + ... + 21690645.

It is an arithmetic number, because the mean of its divisors is an integer number (2731622400).

Almost surely, 2111021312234 is an apocalyptic number.

111021312234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111021312234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131117875200).

111021312234 is an abundant number, since it is smaller than the sum of its proper divisors (151214438166).

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

111021312234 is a wasteful number, since it uses less digits than its factorization.

111021312234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 111021312234 its reverse (432213120111), we get a palindrome (543234432345).

The spelling of 111021312234 in words is "one hundred eleven billion, twenty-one million, three hundred twelve thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1039 1491 2078 2982 3117 3479 5119 6234 6958 7273 10238 10437 14546 15357 20874 21819 30714 35833 43638 50911 71666 73769 101822 107499 147538 152733 214998 221307 250831 305466 363449 442614 501662 516383 726898 752493 1032766 1090347 1504986 1549149 2180694 2544143 3098298 3614681 5088286 5318641 7229362 7632429 10637282 10844043 15264858 15955923 17809001 21688086 31911846 35618002 37230487 53427003 74460974 106854006 111691461 223382922 260613409 377623511 521226818 755247022 781840227 1132870533 1563680454 2265741066 2643364577 5286729154 7930093731 15860187462 18503552039 37007104078 55510656117 111021312234