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831631341345 = 35729835695783
BaseRepresentation
bin11000001101000010001…
…01110011011100100001
32221111120211002100222120
430012201011303130201
5102111140110410340
61434013545454453
7114040412524050
oct14064105633441
92844524070876
10831631341345
112a0769236712
121152137a1429
13605652cbbbc
142c373302397
151697525b4d0
hexc1a1173721

831631341345 has 128 divisors (see below), whose sum is σ = 1595162419200. Its totient is φ = 361942468608.

The previous prime is 831631341337. The next prime is 831631341371. The reversal of 831631341345 is 543143136138.

It is not a de Polignac number, because 831631341345 - 23 = 831631341337 is a prime.

It is a super-2 number, since 2×8316313413452 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 831631341297 and 831631341306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143803324 + ... + 143809106.

It is an arithmetic number, because the mean of its divisors is an integer number (12462206400).

Almost surely, 2831631341345 is an apocalyptic number.

It is an amenable number.

831631341345 is a deficient number, since it is larger than the sum of its proper divisors (763531077855).

831631341345 is a wasteful number, since it uses less digits than its factorization.

831631341345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479.

The product of its digits is 311040, while the sum is 42.

The spelling of 831631341345 in words is "eight hundred thirty-one billion, six hundred thirty-one million, three hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 29 35 83 87 105 145 203 249 415 435 569 581 609 1015 1245 1707 1743 2407 2845 2905 3045 3983 5783 7221 8535 8715 11949 12035 16501 16849 17349 19915 28915 36105 40481 47227 49503 50547 59745 82505 84245 86745 115507 121443 141681 167707 202405 236135 247515 252735 330589 346521 479989 503121 577535 607215 708405 838535 991767 1173949 1369583 1439967 1652945 1732605 2399945 2515605 3290527 3359923 3521847 4108749 4958835 5869745 6847915 7199835 9587081 9871581 10079769 13919681 16452635 16799615 17609235 20543745 23033689 28761243 41759043 47935405 49357905 50398845 69101067 69598405 95425283 97437767 115168445 143806215 208795215 273113741 286275849 292313301 345505335 477126415 487188835 667976981 819341223 1365568705 1431379245 1461566505 1911796187 2003930943 3339884905 4096706115 5735388561 7920298489 9558980935 10019654715 23760895467 28676942805 39601492445 55442089423 118804477335 166326268269 277210447115 831631341345