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111344142 = 237131910733
BaseRepresentation
bin1101010001011…
…11101000001110
321202111212110010
412220233220032
5212001003032
615014254050
72521260330
oct650575016
9252455403
10111344142
115793a558
1231357326
131a0b6110
1410b05450
159b95ccc
hex6a2fa0e

111344142 has 64 divisors (see below), whose sum is σ = 288529920. Its totient is φ = 27817344.

The previous prime is 111344113. The next prime is 111344153. The reversal of 111344142 is 241443111.

It is a super-3 number, since 3×1113441423 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5008 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (4508280).

Almost surely, 2111344142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111344142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144264960).

111344142 is an abundant number, since it is smaller than the sum of its proper divisors (177185778).

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

111344142 is a wasteful number, since it uses less digits than its factorization.

111344142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777.

The product of its digits is 384, while the sum is 21.

The square root of 111344142 is about 10551.9733699437. The cubic root of 111344142 is about 481.0857107847.

Adding to 111344142 its reverse (241443111), we get a palindrome (352787253).

The spelling of 111344142 in words is "one hundred eleven million, three hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 10374 10733 21466 32199 64398 75131 139529 150262 203927 225393 279058 407854 418587 450786 611781 837174 976703 1223562 1427489 1953406 2651051 2854978 2930109 4282467 5302102 5860218 7953153 8564934 15906306 18557357 37114714 55672071 111344142