Search a number
-
+
313314311100 = 223527197852489
BaseRepresentation
bin1001000111100101111…
…11001111101110111100
31002221201102011002222110
410203302333033232330
520113131430423400
6355533513014020
731431135463020
oct4436277175674
91087642132873
10313314311100
1111096a84029a
12508803b4310
132371236c2bb
1411243528380
15823b4e9e50
hex48f2fcfbbc

313314311100 has 144 divisors (see below), whose sum is σ = 1090553811200. Its totient is φ = 67845496320.

The previous prime is 313314311059. The next prime is 313314311117. The reversal of 313314311100 is 1113413313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3886345 + ... + 3966144.

Almost surely, 2313314311100 is an apocalyptic number.

313314311100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313314311100 is an abundant number, since it is smaller than the sum of its proper divisors (777239500100).

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

313314311100 is a wasteful number, since it uses less digits than its factorization.

313314311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852532 (or 7852525 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313314311100 its reverse (1113413313), we get a palindrome (314427724413).

The spelling of 313314311100 in words is "three hundred thirteen billion, three hundred fourteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 7852489 15704978 23557467 31409956 39262445 47114934 54967423 78524890 94229868 109934846 117787335 149197291 157049780 164902269 196312225 219869692 235574670 274837115 298394582 329804538 392624450 447591873 471149340 549674230 588936675 596789164 659609076 745986455 785248900 824511345 895183746 1044381037 1099348460 1177873350 1374185575 1491972910 1649022690 1790367492 2088762074 2237959365 2355746700 2748371150 2983945820 3133143111 3298045380 3729932275 4122556725 4177524148 4475918730 5221905185 5496742300 6266286222 7459864550 8245113450 8951837460 10443810370 11189796825 12532572444 14919729100 15665715555 16490226900 20887620740 22379593650 26109525925 31331431110 44759187300 52219051850 62662862220 78328577775 104438103700 156657155550 313314311100