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31023200320224 = 253746165476667
BaseRepresentation
bin1110000110111001001101…
…10101011011101011100000
311001211210022011121120020120
413003130212311123223200
513031241003240221344
6145551510025040240
76351231552534630
oct703344665335340
9131753264546216
1031023200320224
119980957897a12
123590607026080
131440624133c08
14793760b486c0
1538beb821e219
hex1c3726d5bae0

31023200320224 has 48 divisors (see below), whose sum is σ = 93069600962688. Its totient is φ = 8863771519872.

The previous prime is 31023200320201. The next prime is 31023200320261. The reversal of 31023200320224 is 42202300232013.

31023200320224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×310232003202242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31023200320194 and 31023200320203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23082737662 + ... + 23082739005.

It is an arithmetic number, because the mean of its divisors is an integer number (1938950020056).

Almost surely, 231023200320224 is an apocalyptic number.

It is an amenable number.

31023200320224 is an abundant number, since it is smaller than the sum of its proper divisors (62046400642464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31023200320224 is a wasteful number, since it uses less digits than its factorization.

31023200320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46165476687 (or 46165476679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 31023200320224 its reverse (42202300232013), we get a palindrome (73225500552237).

The spelling of 31023200320224 in words is "thirty-one trillion, twenty-three billion, two hundred million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 46165476667 92330953334 138496430001 184661906668 276992860002 323158336669 369323813336 553985720004 646316673338 738647626672 969475010007 1107971440008 1292633346676 1477295253344 1938950020014 2215942880016 2585266693352 3877900040028 4431885760032 5170533386704 7755800080056 10341066773408 15511600160112 31023200320224