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111071142 = 23372133229
BaseRepresentation
bin1101001111011…
…00111110100110
321201222222222000
412213230332212
5211413234032
615004350130
72516042400
oct647547646
9251888860
10111071142
1157773436
1231245346
131a01ba90
1410a73b70
159b3ee7c
hex69ecfa6

111071142 has 96 divisors (see below), whose sum is σ = 309304800. Its totient is φ = 29284416.

The previous prime is 111071141. The next prime is 111071153. The reversal of 111071142 is 241170111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111071141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32784 + ... + 36012.

It is an arithmetic number, because the mean of its divisors is an integer number (3221925).

Almost surely, 2111071142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111071142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154652400).

111071142 is an abundant number, since it is smaller than the sum of its proper divisors (198233658).

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

111071142 is a wasteful number, since it uses less digits than its factorization.

111071142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 111071142 is about 10539.0294619571. The cubic root of 111071142 is about 480.6922044223.

The spelling of 111071142 in words is "one hundred eleven million, seventy-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 702 819 882 1274 1323 1638 1911 2457 2646 3229 3822 4914 5733 6458 9687 11466 17199 19374 22603 29061 34398 41977 45206 58122 67809 83954 87183 125931 135618 158221 174366 203427 251862 293839 316442 377793 406854 474663 587678 610281 755586 881517 949326 1133379 1220562 1423989 1763034 2056873 2266758 2644551 2847978 4113746 4271967 5289102 6170619 7933653 8543934 12341238 15867306 18511857 37023714 55535571 111071142