Search a number
-
+
112122021 = 311171967157
BaseRepresentation
bin1101010111011…
…01100010100101
321210222101111110
412223231202211
5212200401041
615043055233
72531010234
oct653554245
9253871443
10112122021
1158320a30
1231671519
131a2c91bb
1410c68b1b
159c9b516
hex6aed8a5

112122021 has 64 divisors (see below), whose sum is σ = 185656320. Its totient is φ = 59304960.

The previous prime is 112122001. The next prime is 112122041. The reversal of 112122021 is 120221211.

It is an interprime number because it is at equal distance from previous prime (112122001) and next prime (112122041).

It is not a de Polignac number, because 112122021 - 26 = 112121957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112121988 and 112122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714075 + ... + 714231.

It is an arithmetic number, because the mean of its divisors is an integer number (2900880).

Almost surely, 2112122021 is an apocalyptic number.

112122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112122021 is a deficient number, since it is larger than the sum of its proper divisors (73534299).

112122021 is a wasteful number, since it uses less digits than its factorization.

112122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112122021 is about 10588.7686252935. The cubic root of 112122021 is about 482.2034416645.

Adding to 112122021 its reverse (120221211), we get a palindrome (232343232).

The spelling of 112122021 in words is "one hundred twelve million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 11 17 19 33 51 57 67 157 187 201 209 323 471 561 627 737 969 1139 1273 1727 2211 2669 2983 3417 3553 3819 5181 8007 8949 10519 10659 12529 14003 21641 29359 31557 32813 37587 42009 50711 64923 88077 98439 115709 152133 178823 199861 238051 347127 536469 557821 599583 714153 1673463 1967053 2198471 3397637 5901159 6595413 10192911 37374007 112122021