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111270042 = 232131929863
BaseRepresentation
bin1101010000111…
…01100010011010
321202101002210200
412220131202122
5211441120132
615012523030
72520531312
oct650354232
9252332720
10111270042
1157899914
1231320476
131a08b480
1410ac6442
159b7dd7c
hex6a1d89a

111270042 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 31280256.

The previous prime is 111270041. The next prime is 111270043. The reversal of 111270042 is 240072111.

It is an interprime number because it is at equal distance from previous prime (111270041) and next prime (111270043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111269997 and 111270024.

It is not an unprimeable number, because it can be changed into a prime (111270041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128503 + ... + 129365.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2111270042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111270042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

111270042 is an abundant number, since it is smaller than the sum of its proper divisors (171776358).

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

111270042 is a wasteful number, since it uses less digits than its factorization.

111270042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 111270042 is about 10548.4615939956. The cubic root of 111270042 is about 480.9789655726.

The spelling of 111270042 in words is "one hundred eleven million, two hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 29 38 39 57 58 78 87 114 117 171 174 234 247 261 342 377 494 522 551 741 754 863 1102 1131 1482 1653 1726 2223 2262 2589 3306 3393 4446 4959 5178 6786 7163 7767 9918 11219 14326 15534 16397 21489 22438 25027 32794 33657 42978 49191 50054 64467 67314 75081 98382 100971 128934 147573 150162 201942 213161 225243 295146 325351 426322 450486 475513 639483 650702 951026 976053 1278966 1426539 1918449 1952106 2853078 2928159 3836898 4279617 5856318 6181669 8559234 12363338 18545007 37090014 55635021 111270042