Search a number
-
+
21112222221112 = 2311990124231049
BaseRepresentation
bin1001100110011100100101…
…00000011000001100111000
32202202022100001210102210111
410303032102200120030320
510231400312342033422
6112522453200154104
74306210355640061
oct463162240301470
982668301712714
1021112222221112
1167aa70905a710
12244b834608934
13ba1b4928b1b9
1452dba0a6b568
1526929d850a77
hex133392818338

21112222221112 has 32 divisors (see below), whose sum is σ = 43188454278000. Its totient is φ = 9595495008000.

The previous prime is 21112222221091. The next prime is 21112222221143.

21112222221112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211122222211122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11244237 + ... + 12986812.

Almost surely, 221112222221112 is an apocalyptic number.

21112222221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21112222221112 is an abundant number, since it is smaller than the sum of its proper divisors (22076232056888).

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

21112222221112 is a wasteful number, since it uses less digits than its factorization.

21112222221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24240967 (or 24240963 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Multiplying 21112222221112 by its sum of digits (22), we get a palindrome (464468888864464).

It can be divided in two parts, 2111222 and 2221112, that added together give a palindrome (4332334).

The spelling of 21112222221112 in words is "twenty-one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 9901 19802 39604 79208 108911 217822 435644 871288 24231049 48462098 96924196 193848392 266541539 533083078 1066166156 2132332312 239911616149 479823232298 959646464596 1919292929192 2639027777639 5278055555278 10556111110556 21112222221112