Search a number
-
+
2013101112 = 2331122813343
BaseRepresentation
bin111011111111101…
…0111110000111000
312012022000010120110
41313333113300320
513110323213422
6531431424320
7100613035311
oct16777276070
95168003513
102013101112
11943385730
124822250a0
132610b35b9
14151509608
15bbaee60c
hex77fd7c38

2013101112 has 64 divisors (see below), whose sum is σ = 5494325760. Its totient is φ = 609580800.

The previous prime is 2013101099. The next prime is 2013101119. The reversal of 2013101112 is 2111013102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013101119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600513 + ... + 603855.

It is an arithmetic number, because the mean of its divisors is an integer number (85848840).

Almost surely, 22013101112 is an apocalyptic number.

2013101112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013101112 is an abundant number, since it is smaller than the sum of its proper divisors (3481224648).

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

2013101112 is a wasteful number, since it uses less digits than its factorization.

2013101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5640 counting only the distinct ones).

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

The square root of 2013101112 is about 44867.5953445245. The cubic root of 2013101112 is about 1262.6661257981. Note that the first 3 decimals are identical.

Adding to 2013101112 its reverse (2111013102), we get a palindrome (4124114214).

The spelling of 2013101112 in words is "two billion, thirteen million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2281 3343 4562 6686 6843 9124 10029 13372 13686 18248 20058 25091 26744 27372 36773 40116 50182 54744 73546 75273 80232 100364 110319 147092 150546 200728 220638 294184 301092 441276 602184 882552 7625383 15250766 22876149 30501532 45752298 61003064 83879213 91504596 167758426 183009192 251637639 335516852 503275278 671033704 1006550556 2013101112