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111245420 = 225111397401
BaseRepresentation
bin1101010000101…
…11100001101100
321202022212000202
412220113201230
5211434323140
615012213032
72520366446
oct650274154
9252285022
10111245420
1157882370
123130a178
131a0801c0
1410abb496
159b76915
hex6a1786c

111245420 has 96 divisors (see below), whose sum is σ = 277978176. Its totient is φ = 36864000.

The previous prime is 111245419. The next prime is 111245447. The reversal of 111245420 is 24542111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111245392 and 111245401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 277220 + ... + 277620.

It is an arithmetic number, because the mean of its divisors is an integer number (2895606).

Almost surely, 2111245420 is an apocalyptic number.

111245420 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 111245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138989088).

111245420 is an abundant number, since it is smaller than the sum of its proper divisors (166732756).

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

111245420 is a wasteful number, since it uses less digits than its factorization.

111245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 111245420 is about 10547.2944398078. The cubic root of 111245420 is about 480.9434857091.

Adding to 111245420 its reverse (24542111), we get a palindrome (135787531).

The spelling of 111245420 in words is "one hundred eleven million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 97 110 130 143 194 220 260 286 388 401 485 572 715 802 970 1067 1261 1430 1604 1940 2005 2134 2522 2860 4010 4268 4411 5044 5213 5335 6305 8020 8822 10426 10670 12610 13871 17644 20852 21340 22055 25220 26065 27742 38897 44110 52130 55484 57343 69355 77794 88220 104260 114686 138710 155588 194485 229372 277420 286715 388970 427867 505661 573430 777940 855734 1011322 1146860 1711468 2022644 2139335 2528305 4278670 5056610 5562271 8557340 10113220 11124542 22249084 27811355 55622710 111245420