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111106044 = 223273531249
BaseRepresentation
bin1101001111101…
…01011111111100
321202001202211200
412213311133330
5211420343134
615005215500
72516246220
oct647653774
9252052750
10111106044
1157797685
1231261590
131a03192a
1410a82780
159b4a499
hex69f57fc

111106044 has 72 divisors (see below), whose sum is σ = 322140000. Its totient is φ = 31629312.

The previous prime is 111106043. The next prime is 111106049. The reversal of 111106044 is 440601111.

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 (111106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88332 + ... + 89580.

Almost surely, 2111106044 is an apocalyptic number.

111106044 is a gapful number since it is divisible by the number (14) 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 111106044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161070000).

111106044 is an abundant number, since it is smaller than the sum of its proper divisors (211033956).

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

111106044 is a wasteful number, since it uses less digits than its factorization.

111106044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111106044 is about 10540.6851769702. The cubic root of 111106044 is about 480.7425486192.

Adding to 111106044 its reverse (440601111), we get a palindrome (551707155).

The spelling of 111106044 in words is "one hundred eleven million, one hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 353 706 1059 1249 1412 2118 2471 2498 3177 3747 4236 4942 4996 6354 7413 7494 8743 9884 11241 12708 14826 14988 17486 22239 22482 26229 29652 34972 44478 44964 52458 78687 88956 104916 157374 314748 440897 881794 1322691 1763588 2645382 3086279 3968073 5290764 6172558 7936146 9258837 12345116 15872292 18517674 27776511 37035348 55553022 111106044