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112022521 = 13149151383
BaseRepresentation
bin1101010110101…
…01001111111001
321210210100000021
412223111033321
5212134210041
615041010441
72530114162
oct653251771
9253710007
10112022521
11582631a6
1231623a21
131a292b20
1410c40769
159c7bcd1
hex6ad53f9

112022521 has 16 divisors (see below), whose sum is σ = 122572800. Its totient is φ = 101764800.

The previous prime is 112022501. The next prime is 112022531. The reversal of 112022521 is 125220211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112022521 - 215 = 111989753 is a prime.

It is a super-2 number, since 2×1120225212 = 25098090422390882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112022495 and 112022504.

It is not an unprimeable number, because it can be changed into a prime (112022501) 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 15 ways as a sum of consecutive naturals, for example, 292296 + ... + 292678.

It is an arithmetic number, because the mean of its divisors is an integer number (7660800).

Almost surely, 2112022521 is an apocalyptic number.

It is an amenable number.

112022521 is a deficient number, since it is larger than the sum of its proper divisors (10550279).

112022521 is a wasteful number, since it uses less digits than its factorization.

112022521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112022521 is about 10584.0692080126. The cubic root of 112022521 is about 482.0607594875.

Adding to 112022521 its reverse (125220211), we get a palindrome (237242732).

The spelling of 112022521 in words is "one hundred twelve million, twenty-two thousand, five hundred twenty-one".

Divisors: 1 13 149 151 383 1937 1963 4979 22499 57067 57833 292487 741871 751829 8617117 112022521