Search a number
-
+
313204442213310 = 235174114978691641
BaseRepresentation
bin100011100110110111001011…
…1100001010010101110111110
31112001222001102002112121200220
41013031232113201102232332
5312023020144201311220
63030044045011002210
7122654163024420624
oct10715562741225676
91461861362477626
10313204442213310
1190884292451a8a
122b165151b99366
131059c08a80248b
14574b2668c5514
152632276441540
hex11cdb97852bbe

313204442213310 has 64 divisors (see below), whose sum is σ = 815320143457344. Its totient is φ = 76690901196800.

The previous prime is 313204442213227. The next prime is 313204442213329. The reversal of 313204442213310 is 13312244402313.

It is a super-2 number, since 2×3132044422133102 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7489324911 + ... + 7489366730.

It is an arithmetic number, because the mean of its divisors is an integer number (12739377241521).

Almost surely, 2313204442213310 is an apocalyptic number.

313204442213310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313204442213310 is an abundant number, since it is smaller than the sum of its proper divisors (502115701244034).

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

313204442213310 is a wasteful number, since it uses less digits than its factorization.

313204442213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978691709.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 313204442213310 its reverse (13312244402313), we get a palindrome (326516686615623).

The spelling of 313204442213310 in words is "three hundred thirteen trillion, two hundred four billion, four hundred forty-two million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 1230 1394 2091 3485 4182 6970 10455 20910 14978691641 29957383282 44936074923 74893458205 89872149846 149786916410 224680374615 254637757897 449360749230 509275515794 614126357281 763913273691 1228252714562 1273188789485 1527826547382 1842379071843 2546377578970 3070631786405 3684758143686 3819566368455 6141263572810 7639132736910 9211895359215 10440148073777 18423790718430 20880296147554 31320444221331 52200740368885 62640888442662 104401480737770 156602221106655 313204442213310