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111013020 = 223251913229
BaseRepresentation
bin1101001110111…
…10110010011100
321201220001020100
412213132302130
5211404404040
615003221100
72515411056
oct647366234
9251801210
10111013020
11577337a8
1231217790
1319ccb4a1
1410a5a8d6
159b2cb30
hex69dec9c

111013020 has 72 divisors (see below), whose sum is σ = 338607360. Its totient is φ = 29439360.

The previous prime is 111012997. The next prime is 111013027. The reversal of 111013020 is 20310111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111012993 and 111013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32766 + ... + 35994.

It is an arithmetic number, because the mean of its divisors is an integer number (4702880).

Almost surely, 2111013020 is an apocalyptic number.

111013020 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 111013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169303680).

111013020 is an abundant number, since it is smaller than the sum of its proper divisors (227594340).

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

111013020 is a wasteful number, since it uses less digits than its factorization.

111013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 111013020 is about 10536.2716365895. The cubic root of 111013020 is about 480.6083432545.

Adding to 111013020 its reverse (20310111), we get a palindrome (131323131).

The spelling of 111013020 in words is "one hundred eleven million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3229 3438 3820 5730 6458 6876 8595 9687 11460 12916 16145 17190 19374 29061 32290 34380 38748 48435 58122 64580 96870 116244 145305 193740 290610 581220 616739 1233478 1850217 2466956 3083695 3700434 5550651 6167390 7400868 9251085 11101302 12334780 18502170 22202604 27753255 37004340 55506510 111013020