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33442200020141 = 1131682714365163
BaseRepresentation
bin1111001101010010111100…
…11100111110010010101101
311101102001011102022112200222
413212221132130332102231
513340404111201121031
6155043045023501125
710021055614660103
oct746513634762255
9141361142275628
1033442200020141
11a723837090930
1239013a51577a5
13158778039a5b3
1483887ac97c73
153ced95b20e7b
hex1e6a5e73e4ad

33442200020141 has 16 divisors (see below), whose sum is σ = 37664770480128. Its totient is φ = 29416978743600.

The previous prime is 33442200020069. The next prime is 33442200020149. The reversal of 33442200020141 is 14102000224433.

It is a cyclic number.

It is not a de Polignac number, because 33442200020141 - 226 = 33442132911277 is a prime.

It is a super-3 number, since 3×334422000201413 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33442200020141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442200020149) 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, 4854575 + ... + 9510588.

It is an arithmetic number, because the mean of its divisors is an integer number (2354048155008).

Almost surely, 233442200020141 is an apocalyptic number.

33442200020141 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33442200020141 is a deficient number, since it is larger than the sum of its proper divisors (4222570459987).

33442200020141 is a wasteful number, since it uses less digits than its factorization.

33442200020141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14372032.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 33442200020141 its reverse (14102000224433), we get a palindrome (47544200244574).

The spelling of 33442200020141 in words is "thirty-three trillion, four hundred forty-two billion, two hundred million, twenty thousand, one hundred forty-one".

Divisors: 1 11 31 341 6827 75097 211637 2328007 14365163 158016793 445320053 4898520583 98070967801 1078780645811 3040200001831 33442200020141