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12314220054620 = 22511192325568971
BaseRepresentation
bin1011001100110010000010…
…1101100100100001011100
31121121020011011112202022012
42303030200231210201130
53103224010313221440
642105024040210352
72410446565265141
oct263144055444134
947536134482265
1012314220054620
113a1848220a660
12146a6b34699b8
136b42c25b68a3
1430802351a3c8
151654c3bcde65
hexb3320b6485c

12314220054620 has 144 divisors (see below), whose sum is σ = 31042786481280. Its totient is φ = 4057774300800.

The previous prime is 12314220054589. The next prime is 12314220054727. The reversal of 12314220054620 is 2645002241321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573266 + ... + 4995705.

It is an arithmetic number, because the mean of its divisors is an integer number (215574906120).

Almost surely, 212314220054620 is an apocalyptic number.

12314220054620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12314220054620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521393240640).

12314220054620 is an abundant number, since it is smaller than the sum of its proper divisors (18728566426660).

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

12314220054620 is a wasteful number, since it uses less digits than its factorization.

12314220054620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569056 (or 5569031 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 12314220054620 its reverse (2645002241321), we get a palindrome (14959222295941).

The spelling of 12314220054620 in words is "twelve trillion, three hundred fourteen billion, two hundred twenty million, fifty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 529 836 874 1012 1045 1058 1265 1748 2090 2116 2185 2530 2645 4180 4370 4807 5060 5290 5819 8740 9614 10051 10580 11638 19228 20102 23276 24035 29095 40204 48070 50255 58190 96140 100510 110561 116380 201020 221122 442244 552805 1105610 2211220 5568971 11137942 22275884 27844855 55689710 61258681 105810449 111379420 122517362 128086333 211620898 245034724 256172666 306293405 423241796 512345332 529052245 612586810 640431665 1058104490 1163914939 1225173620 1280863330 1408949663 2116208980 2327829878 2433640327 2561726660 2817899326 2945985659 4655659756 4867280654 5635798652 5819574695 5891971318 7044748315 9734561308 11639149390 11783942636 12168201635 14089496630 14729928295 23278298780 24336403270 26770043597 28178993260 29459856590 32405842249 48672806540 53540087194 55973727521 58919713180 64811684498 107080174388 111947455042 129623368996 133850217985 162029211245 223894910084 267700435970 279868637605 324058422490 535400871940 559737275210 615711002731 648116844980 1119474550420 1231422005462 2462844010924 3078555013655 6157110027310 12314220054620