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112211340 = 223519257383
BaseRepresentation
bin1101011000000…
…11010110001100
321211010221000120
412230003112030
5212211230330
615045024540
72531531523
oct654032614
9254127016
10112211340
115838204a
12316b5150
131a32aa57
1410c8d4ba
159cb7c10
hex6b0358c

112211340 has 96 divisors (see below), whose sum is σ = 332881920. Its totient is φ = 28164096.

The previous prime is 112211327. The next prime is 112211347. The reversal of 112211340 is 43112211.

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

It is not an unprimeable number, because it can be changed into a prime (112211347) 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, 292789 + ... + 293171.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2112211340 is an apocalyptic number.

112211340 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 112211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

112211340 is an abundant number, since it is smaller than the sum of its proper divisors (220670580).

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

112211340 is a wasteful number, since it uses less digits than its factorization.

112211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112211340 is about 10592.9854148866. The cubic root of 112211340 is about 482.3314524901.

Adding to 112211340 its reverse (43112211), we get a palindrome (155323551).

It can be divided in two parts, 11221 and 1340, that added together give a triangular number (12561 = T158).

The spelling of 112211340 in words is "one hundred twelve million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 257 285 380 383 514 570 766 771 1028 1140 1149 1285 1532 1542 1915 2298 2570 3084 3830 3855 4596 4883 5140 5745 7277 7660 7710 9766 11490 14554 14649 15420 19532 21831 22980 24415 29108 29298 36385 43662 48830 58596 72770 73245 87324 97660 98431 109155 145540 146490 196862 218310 292980 295293 393724 436620 492155 590586 984310 1181172 1476465 1870189 1968620 2952930 3740378 5610567 5905860 7480756 9350945 11221134 18701890 22442268 28052835 37403780 56105670 112211340