Search a number
-
+
2112111210 = 2351128122777
BaseRepresentation
bin111110111100100…
…0100001001101010
312110012022100220010
41331321010021222
513311200024320
6545325512350
7103224435426
oct17571041152
95405270803
102112111210
11994260460
124ab4126b6
1327876b661
1416071db86
15c565aae0
hex7de4426a

2112111210 has 64 divisors (see below), whose sum is σ = 5549814144. Its totient is φ = 510182400.

The previous prime is 2112111191. The next prime is 2112111217. The reversal of 2112111210 is 121112112.

It is a super-2 number, since 2×21121112102 = 8922027526815328200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112111217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81342 + ... + 104118.

It is an arithmetic number, because the mean of its divisors is an integer number (86715846).

Almost surely, 22112111210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774907072).

2112111210 is an abundant number, since it is smaller than the sum of its proper divisors (3437702934).

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

2112111210 is a wasteful number, since it uses less digits than its factorization.

2112111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23079.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2112111210 is about 45957.7111048842. The cubic root of 2112111210 is about 1283.0362511670.

Adding to 2112111210 its reverse (121112112), we get a palindrome (2233223322).

The spelling of 2112111210 in words is "two billion, one hundred twelve million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 562 843 1405 1686 2810 3091 4215 6182 8430 9273 15455 18546 22777 30910 45554 46365 68331 92730 113885 136662 227770 250547 341655 501094 683310 751641 1252735 1503282 2505470 3758205 6400337 7516410 12800674 19201011 32001685 38402022 64003370 70403707 96005055 140807414 192010110 211211121 352018535 422422242 704037070 1056055605 2112111210