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13301200312020 = 22325167442488367
BaseRepresentation
bin1100000110001110110101…
…0100011101011011010100
31202002120201112000201120100
43001203231110131123110
53220411324234441040
644142253112334100
72541660100122015
oct301435524353324
952076645021510
1013301200312020
1142690098a61a5
1215a9a410a4330
137563b438a50a
1433dad273900c
15180edc3e3b30
hexc18ed51d6d4

13301200312020 has 72 divisors (see below), whose sum is σ = 40588573019904. Its totient is φ = 3525747300288.

The previous prime is 13301200312007. The next prime is 13301200312093. The reversal of 13301200312020 is 2021300210331.

13301200312020 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 0 + 0 + 312 + 0 + 20 = 666.

13301200312020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301200311984 and 13301200312002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221214124 + ... + 221274243.

It is an arithmetic number, because the mean of its divisors is an integer number (563730180832).

Almost surely, 213301200312020 is an apocalyptic number.

13301200312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301200312020 is an abundant number, since it is smaller than the sum of its proper divisors (27287372707884).

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

13301200312020 is a wasteful number, since it uses less digits than its factorization.

13301200312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442488549 (or 442488544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13301200312020 its reverse (2021300210331), we get a palindrome (15322500522351).

The spelling of 13301200312020 in words is "thirteen trillion, three hundred one billion, two hundred million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 442488367 884976734 1327465101 1769953468 2212441835 2654930202 3982395303 4424883670 5309860404 6637325505 7964790606 8849767340 13274651010 15929581212 19911976515 26549302020 39823953030 73895557289 79647906060 147791114578 221686671867 295582229156 369477786445 443373343734 665060015601 738955572890 886746687468 1108433359335 1330120031202 1477911145780 2216866718670 2660240062404 3325300078005 4433733437340 6650600156010 13301200312020