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2112033012 = 2231761891907
BaseRepresentation
bin111110111100011…
…0001000011110100
312110012011101121220
41331320301003310
513311140024022
6545324110340
7103223661435
oct17570610364
95405141556
102112033012
11994207731
124ab3953b0
13278741b9b
141606dd48c
15c564285c
hex7de310f4

2112033012 has 96 divisors (see below), whose sum is σ = 5365906560. Its totient is φ = 644075520.

The previous prime is 2112032999. The next prime is 2112033013. The reversal of 2112033012 is 2103302112.

It is a super-3 number, since 3×21120330123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112032982 and 2112033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112033013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106563 + ... + 1108469.

It is an arithmetic number, because the mean of its divisors is an integer number (55894860).

Almost surely, 22112033012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682953280).

2112033012 is an abundant number, since it is smaller than the sum of its proper divisors (3253873548).

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

2112033012 is a wasteful number, since it uses less digits than its factorization.

2112033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2112033012 is about 45956.8603366244. The cubic root of 2112033012 is about 1283.0204167566.

Adding to 2112033012 its reverse (2103302112), we get a palindrome (4215335124).

The spelling of 2112033012 in words is "two billion, one hundred twelve million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 89 102 122 178 183 204 244 267 356 366 534 732 1037 1068 1513 1907 2074 3026 3111 3814 4148 4539 5429 5721 6052 6222 7628 9078 10858 11442 12444 16287 18156 21716 22884 32419 32574 64838 65148 92293 97257 116327 129676 169723 184586 194514 232654 276879 339446 348981 369172 389028 465308 509169 553758 678892 697962 1018338 1107516 1395924 1977559 2036676 2885291 3955118 5770582 5932677 7910236 8655873 10353103 11541164 11865354 17311746 20706206 23730708 31059309 34623492 41412412 62118618 124237236 176002751 352005502 528008253 704011004 1056016506 2112033012