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13230041214420 = 2233553462265591
BaseRepresentation
bin1100000010000101101111…
…1010000010110111010100
31201211210001022122000201000
43000201123322002313110
53213230111022330140
644045444054103300
72533560516561042
oct300413372026724
951753038560630
1013230041214420
1142409133a4a28
1215980a204ab30
1374c783a6cbc4
1433a4a1bdd392
1517e225176a30
hexc085be82dd4

13230041214420 has 96 divisors (see below), whose sum is σ = 41936734506240. Its totient is φ = 3461444737920.

The previous prime is 13230041214371. The next prime is 13230041214421. The reversal of 13230041214420 is 2441214003231.

13230041214420 is a `hidden beast` number, since 1 + 3 + 23 + 0 + 0 + 4 + 1 + 214 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230041214421) 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, 231104176 + ... + 231161415.

It is an arithmetic number, because the mean of its divisors is an integer number (436840984440).

Almost surely, 213230041214420 is an apocalyptic number.

13230041214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230041214420 is an abundant number, since it is smaller than the sum of its proper divisors (28706693291820).

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

13230041214420 is a wasteful number, since it uses less digits than its factorization.

13230041214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462265662 (or 462265654 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13230041214420 its reverse (2441214003231), we get a palindrome (15671255217651).

The spelling of 13230041214420 in words is "thirteen trillion, two hundred thirty billion, forty-one million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 462265591 924531182 1386796773 1849062364 2311327955 2773593546 4160390319 4622655910 5547187092 6933983865 8320780638 9245311820 12481170957 13867967730 16641561276 20801951595 24500076323 24962341914 27735935460 41603903190 49000152646 49924683828 62405854785 73500228969 83207806380 98000305292 122500381615 124811709570 147000457938 220500686907 245000763230 249623419140 294000915876 367501144845 441001373814 490001526460 661502060721 735002289690 882002747628 1102503434535 1323004121442 1470004579380 2205006869070 2646008242884 3307510303605 4410013738140 6615020607210 13230041214420