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112100340 = 223511315479
BaseRepresentation
bin1101010111010…
…00001111110100
321210221021202110
412223220033310
5212144202330
615042411020
72530560102
oct653501764
9253837673
10112100340
1158306710
1231660a70
131a2bc381
1410c60c72
159c94db0
hex6ae83f4

112100340 has 96 divisors (see below), whose sum is σ = 353525760. Its totient is φ = 26294400.

The previous prime is 112100293. The next prime is 112100347. The reversal of 112100340 is 43001211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100347) 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, 17721 + ... + 23199.

It is an arithmetic number, because the mean of its divisors is an integer number (3682560).

Almost surely, 2112100340 is an apocalyptic number.

112100340 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 112100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176762880).

112100340 is an abundant number, since it is smaller than the sum of its proper divisors (241425420).

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

112100340 is a wasteful number, since it uses less digits than its factorization.

112100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112100340 is about 10587.7448023647. The cubic root of 112100340 is about 482.1723584849.

Adding to 112100340 its reverse (43001211), we get a palindrome (155101551).

The spelling of 112100340 in words is "one hundred twelve million, one hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 5479 6820 10230 10958 16437 20460 21916 27395 32874 54790 60269 65748 82185 109580 120538 164370 169849 180807 241076 301345 328740 339698 361614 509547 602690 679396 723228 849245 904035 1019094 1205380 1698490 1808070 1868339 2038188 2547735 3396980 3616140 3736678 5095470 5605017 7473356 9341695 10190940 11210034 18683390 22420068 28025085 37366780 56050170 112100340