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313318648693080 = 233352152731347637
BaseRepresentation
bin100011100111101100010111…
…0110000011100000101011000
31112002100222012100011220112000
41013033120232300130011120
5312031403043031134310
63030212333344121000
7122665345124450532
oct10717305660340530
91462328170156460
10313318648693080
1190918768a94658
122b183305606160
13105a9a8b636564
1457529bc60a852
15263520c9984c0
hex11cf62ec1c158

313318648693080 has 128 divisors (see below), whose sum is σ = 1044401122123200. Its totient is φ = 83551189533696.

The previous prime is 313318648692991. The next prime is 313318648693109. The reversal of 313318648693080 is 80396846813313.

313318648693080 is a `hidden beast` number, since 3 + 1 + 3 + 318 + 6 + 4 + 8 + 6 + 9 + 308 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313318648692999 and 313318648693017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231821022 + ... + 233168658.

Almost surely, 2313318648693080 is an apocalyptic number.

313318648693080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313318648693080 is an abundant number, since it is smaller than the sum of its proper divisors (731082473430120).

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

313318648693080 is a wasteful number, since it uses less digits than its factorization.

313318648693080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562930 (or 1562920 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 313318648693080 in words is "three hundred thirteen trillion, three hundred eighteen billion, six hundred forty-eight million, six hundred ninety-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 215273 430546 645819 861092 1076365 1291638 1347637 1722184 1937457 2152730 2583276 2695274 3229095 3874914 4042911 4305460 5166552 5390548 5812371 6458190 6738185 7749828 8085822 8610920 9687285 10781096 11624742 12128733 12916380 13476370 15499656 16171644 19374570 20214555 23249484 24257466 25832760 26952740 29061855 32343288 36386199 38749140 40429110 46498968 48514932 53905480 58123710 60643665 72772398 77498280 80858220 97029864 116247420 121287330 145544796 161716440 181930995 232494840 242574660 291089592 363861990 485149320 727723980 1455447960 290109859901 580219719802 870329579703 1160439439604 1450549299505 1740659159406 2320878879208 2610988739109 2901098599010 3481318318812 4351647898515 5221977478218 5802197198020 6962636637624 7832966217327 8703295797030 10443954956436 11604394396040 13054943695545 15665932434654 17406591594060 20887909912872 26109887391090 31331864869308 34813183188120 39164831086635 52219774782180 62663729738616 78329662173270 104439549564360 156659324346540 313318648693080