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13132021213212 = 223111014332274827
BaseRepresentation
bin1011111100011000100101…
…1101011010100000011100
31201111102001010201001011220
42333012021131122200130
53210123334412310322
643532433421213340
72523520504401546
oct277061135324034
951442033631156
1013132021213212
114203293695270
1215810a7401250
137434625239a5
14335843b0c696
1517b8d9b9d55c
hexbf18975a81c

13132021213212 has 96 divisors (see below), whose sum is σ = 33835900863744. Its totient is φ = 3930899328000.

The previous prime is 13132021213211. The next prime is 13132021213231. The reversal of 13132021213212 is 21231212023131.

13132021213212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131320212132122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132021213211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4635343 + ... + 6910169.

It is an arithmetic number, because the mean of its divisors is an integer number (352457300664).

Almost surely, 213132021213212 is an apocalyptic number.

13132021213212 is a gapful number since it is divisible by the number (12) 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 13132021213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917950431872).

13132021213212 is an abundant number, since it is smaller than the sum of its proper divisors (20703879650532).

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

13132021213212 is a wasteful number, since it uses less digits than its factorization.

13132021213212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275379 (or 2275377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13132021213212 its reverse (21231212023131), we get a palindrome (34363233236343).

The spelling of 13132021213212 in words is "thirteen trillion, one hundred thirty-two billion, twenty-one million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 433 606 866 1111 1212 1299 1732 2222 2598 3333 4444 4763 5196 6666 9526 13332 14289 19052 28578 43733 57156 87466 131199 174932 262398 481063 524796 962126 1443189 1924252 2274827 2886378 4549654 5772756 6824481 9099308 13648962 25023097 27297924 50046194 75069291 100092388 150138582 229757527 300277164 459515054 689272581 919030108 985000091 1378545162 1970000182 2527332797 2757090324 2955000273 3940000364 5054665594 5910000546 7581998391 10109331188 10835001001 11820001092 15163996782 21670002002 30327993564 32505003003 43340004004 65010006006 99485009191 130020012012 198970018382 298455027573 397940036764 596910055146 1094335101101 1193820110292 2188670202202 3283005303303 4377340404404 6566010606606 13132021213212