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112022332033 = 8352110632437
BaseRepresentation
bin110100001010100001…
…1010010001010000001
3101201011000210002101111
41220111003102022001
53313410204111113
6123243511203321
711044006053133
oct1502503221201
9351130702344
10112022332033
11435657600a7
1219864076541
13a743492c91
1455c9a13053
152da991c13d
hex1a150d2281

112022332033 has 16 divisors (see below), whose sum is σ = 113743115136. Its totient is φ = 110311044480.

The previous prime is 112022331991. The next prime is 112022332043. The reversal of 112022332033 is 330233220211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112022332033 is a prime.

It is a super-2 number, since 2×1120223320332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112022331995 and 112022332013.

It is not an unprimeable number, because it can be changed into a prime (112022332043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45966091 + ... + 45968527.

It is an arithmetic number, because the mean of its divisors is an integer number (7108944696).

Almost surely, 2112022332033 is an apocalyptic number.

It is an amenable number.

112022332033 is a deficient number, since it is larger than the sum of its proper divisors (1720783103).

112022332033 is a wasteful number, since it uses less digits than its factorization.

112022332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 112022332033 its reverse (330233220211), we get a palindrome (442255552244).

The spelling of 112022332033 in words is "one hundred twelve billion, twenty-two million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 83 521 1063 2437 43243 88229 202271 553823 1269677 2590531 45967309 105383191 215014073 1349666651 112022332033