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31831688613813 = 31117924147946681
BaseRepresentation
bin1110011110011011001000…
…11111100000111110110101
311011201002011002222022000020
413033031210133200332311
513133012244241120223
6151411135331035353
76463522626616404
oct717154437407665
9134632132868006
1031831688613813
11a16281a410280
1236a124013bb59
13149b93b83a2ca
147c093a56363b
153a30368111e3
hex1cf3647e0fb5

31831688613813 has 64 divisors (see below), whose sum is σ = 46851100876800. Its totient is φ = 19064261376000.

The previous prime is 31831688613793. The next prime is 31831688613899.

It is a happy number.

31831688613813 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-31831688613813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31831688613313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681874833 + ... + 681921513.

It is an arithmetic number, because the mean of its divisors is an integer number (732048451200).

Almost surely, 231831688613813 is an apocalyptic number.

31831688613813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31831688613813 is a deficient number, since it is larger than the sum of its proper divisors (15019412262987).

31831688613813 is a wasteful number, since it uses less digits than its factorization.

31831688613813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47594.

The product of its digits is 11943936, while the sum is 60.

The spelling of 31831688613813 in words is "thirty-one trillion, eight hundred thirty-one billion, six hundred eighty-eight million, six hundred thirteen thousand, eight hundred thirteen".

Divisors: 1 3 11 33 179 241 479 537 723 1437 1969 2651 5269 5907 7953 15807 43139 46681 85741 115439 129417 140043 257223 346317 474529 513491 943151 1269829 1423587 1540473 2829453 3809487 8355899 11250121 20663581 22360199 25067697 33750363 61990743 67080597 91914889 123751331 227299391 245962189 275744667 371253993 681898173 737886567 2013771659 4002475621 5388807959 6041314977 12007426863 16166423877 22151488249 44027231831 59276887549 66454464747 132081695493 177830662647 964596624661 2893789873983 10610562871271 31831688613813