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31022042144031 = 3347129411889039
BaseRepresentation
bin1110000110110111000011…
…10011010101110100011111
311001211200022110022010012000
413003123201303111310133
513031231120242102111
6145551155053213343
76351161060311641
oct703334163256437
9131750273263160
1031022042144031
119980413058004
123590343191253
13144049b1c4463
14793690dc4891
1538be4b6e5c56
hex1c36e1cd5d1f

31022042144031 has 32 divisors (see below), whose sum is σ = 46940074905600. Its totient is φ = 20239757624160.

The previous prime is 31022042144029. The next prime is 31022042144077. The reversal of 31022042144031 is 13044124022013.

31022042144031 is a `hidden beast` number, since 3 + 10 + 2 + 204 + 2 + 1 + 440 + 3 + 1 = 666.

It is not a de Polignac number, because 31022042144031 - 21 = 31022042144029 is a prime.

It is a super-2 number, since 2×310220421440312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31022042143986 and 31022042144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31022042144231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15477610 + ... + 17366648.

It is an arithmetic number, because the mean of its divisors is an integer number (1466877340800).

Almost surely, 231022042144031 is an apocalyptic number.

31022042144031 is a deficient number, since it is larger than the sum of its proper divisors (15918032761569).

31022042144031 is a wasteful number, since it uses less digits than its factorization.

31022042144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902036 (or 1902030 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31022042144031 its reverse (13044124022013), we get a palindrome (44066166166044).

The spelling of 31022042144031 in words is "thirty-one trillion, twenty-two billion, forty-two million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 27 47 141 423 1269 12941 38823 116469 349407 608227 1824681 1889039 5474043 5667117 16422129 17001351 51004053 88784833 266354499 799063497 2397190491 24446053699 73338161097 220014483291 660043449873 1148964523853 3446893571559 10340680714677 31022042144031