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112213320 = 233523109373
BaseRepresentation
bin1101011000000…
…11110101001000
321211011000201220
412230003311020
5212211311240
615045042040
72531540352
oct654036510
9254130656
10112213320
115838358a
12316b6320
131a32b91b
1410c900d2
159cb85d0
hex6b03d48

112213320 has 128 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 28283904.

The previous prime is 112213319. The next prime is 112213327. The reversal of 112213320 is 23312211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112213320.

It is not an unprimeable number, because it can be changed into a prime (112213327) 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, 300654 + ... + 301026.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2112213320 is an apocalyptic number.

112213320 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 112213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

112213320 is an abundant number, since it is smaller than the sum of its proper divisors (243236280).

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

112213320 is a wasteful number, since it uses less digits than its factorization.

112213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 112213320 is about 10593.0788725469. The cubic root of 112213320 is about 482.3342894305.

Adding to 112213320 its reverse (23312211), we get a palindrome (135525531).

It can be divided in two parts, 11221 and 3320, that added together give a palindrome (14541).

The spelling of 112213320 in words is "one hundred twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 109 115 120 138 184 218 230 276 327 345 373 436 460 545 552 654 690 746 872 920 1090 1119 1308 1380 1492 1635 1865 2180 2238 2507 2616 2760 2984 3270 3730 4360 4476 5014 5595 6540 7460 7521 8579 8952 10028 11190 12535 13080 14920 15042 17158 20056 22380 25070 25737 30084 34316 37605 40657 42895 44760 50140 51474 60168 68632 75210 81314 85790 100280 102948 121971 128685 150420 162628 171580 203285 205896 243942 257370 300840 325256 343160 406570 487884 514740 609855 813140 935111 975768 1029480 1219710 1626280 1870222 2439420 2805333 3740444 4675555 4878840 5610666 7480888 9351110 11221332 14026665 18702220 22442664 28053330 37404440 56106660 112213320