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111393912 = 23373173293
BaseRepresentation
bin1101010001110…
…11110001111000
321202121101201110
412220323301320
5212004101122
615015320320
72521555410
oct650736170
9252541643
10111393912
1157973993
12313800a0
131a102976
1410b19640
159ba590c
hex6a3bc78

111393912 has 128 divisors (see below), whose sum is σ = 334172160. Its totient is φ = 30274560.

The previous prime is 111393851. The next prime is 111393917. The reversal of 111393912 is 219393111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111393912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111393917) 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, 380038 + ... + 380330.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 2111393912 is an apocalyptic number.

111393912 is a gapful number since it is divisible by the number (12) 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 111393912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167086080).

111393912 is an abundant number, since it is smaller than the sum of its proper divisors (222778248).

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

111393912 is a wasteful number, since it uses less digits than its factorization.

111393912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its digits is 1458, while the sum is 30.

The square root of 111393912 is about 10554.3314331131. The cubic root of 111393912 is about 481.1573806806.

It can be divided in two parts, 11139 and 3912, that added together give a palindrome (15051).

The spelling of 111393912 in words is "one hundred eleven million, three hundred ninety-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 292 293 372 434 438 511 584 586 651 744 868 876 879 1022 1172 1302 1533 1736 1752 1758 2044 2051 2263 2344 2604 3066 3516 4088 4102 4526 5208 6132 6153 6789 7032 8204 9052 9083 12264 12306 13578 15841 16408 18104 18166 21389 24612 27156 27249 31682 36332 42778 47523 49224 54312 54498 63364 63581 64167 72664 85556 95046 108996 126728 127162 128334 149723 171112 190092 190743 217992 254324 256668 299446 380184 381486 449169 508648 513336 598892 663059 762972 898338 1197784 1326118 1525944 1796676 1989177 2652236 3593352 3978354 4641413 5304472 7956708 9282826 13924239 15913416 18565652 27848478 37131304 55696956 111393912