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111430000 = 2454111013
BaseRepresentation
bin1101010010001…
…00100101110000
321202200020020001
412221010211300
5212011230000
615020155344
72522065543
oct651044560
9252606201
10111430000
1157999010
1231398b54
131a116216
1410b2885a
159bb146a
hex6a44970

111430000 has 100 divisors (see below), whose sum is σ = 294599448. Its totient is φ = 40480000.

The previous prime is 111429991. The next prime is 111430013. The reversal of 111430000 is 34111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109494 + ... + 110506.

Almost surely, 2111430000 is an apocalyptic number.

111430000 is a gapful number since it is divisible by the number (10) 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 111430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147299724).

111430000 is an abundant number, since it is smaller than the sum of its proper divisors (183169448).

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

111430000 is a wasteful number, since it uses less digits than its factorization.

111430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 111430000 is about 10556.0409245133. The cubic root of 111430000 is about 481.2093348447.

Adding to 111430000 its reverse (34111), we get a palindrome (111464111).

The spelling of 111430000 in words is "one hundred eleven million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1013 1100 1250 1375 2000 2026 2200 2500 2750 4052 4400 5000 5065 5500 6875 8104 10000 10130 11000 11143 13750 16208 20260 22000 22286 25325 27500 40520 44572 50650 55000 55715 81040 89144 101300 110000 111430 126625 178288 202600 222860 253250 278575 405200 445720 506500 557150 633125 891440 1013000 1114300 1266250 1392875 2026000 2228600 2532500 2785750 4457200 5065000 5571500 6964375 10130000 11143000 13928750 22286000 27857500 55715000 111430000