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33114044041133 = 11157112916983451
BaseRepresentation
bin1111000011101111101101…
…10101010000011110101101
311100020200010122221120211112
413201313312311100132231
513320020030233304013
6154232214250201405
76655260611116166
oct741676665203655
9140220118846745
1033114044041133
11a6076506418a0
123869882423265
13156284423a7a3
14826a2a5a276d
153c658b689ba8
hex1e1df6d507ad

33114044041133 has 16 divisors (see below), whose sum is σ = 36386706240960. Its totient is φ = 29885437296000.

The previous prime is 33114044041087. The next prime is 33114044041213.

33114044041133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 33114044041133 - 222 = 33114039846829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33114044041133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33114044041633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6541943 + ... + 10441508.

It is an arithmetic number, because the mean of its divisors is an integer number (2274169140060).

Almost surely, 233114044041133 is an apocalyptic number.

It is an amenable number.

33114044041133 is a deficient number, since it is larger than the sum of its proper divisors (3272662199827).

33114044041133 is a wasteful number, since it uses less digits than its factorization.

33114044041133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984748.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 3311404 and 4041133, that added together give a palindrome (7352537).

The spelling of 33114044041133 in words is "thirty-three trillion, one hundred fourteen billion, forty-four million, forty-one thousand, one hundred thirty-three".

Divisors: 1 11 157 1129 1727 12419 177253 1949783 16983451 186817961 2666401807 19174316179 29330419877 210917477969 3010367640103 33114044041133