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13211330213232 = 243337826534673
BaseRepresentation
bin1100000001000000000010…
…1001001111010101110000
31201202222202022120200102000
43000100000221033111300
53212423301013310412
644033111252254000
72532326035645134
oct300200051172560
951688668520360
1013211330213232
114233991539888
12159453b911300
1374aa9144aa78
14339608bb33c4
1517d9cc6764dc
hexc0400a4f570

13211330213232 has 80 divisors (see below), whose sum is σ = 38946313838880. Its totient is φ = 4284755739648.

The previous prime is 13211330213149. The next prime is 13211330213251. The reversal of 13211330213232 is 23231203311231.

13211330213232 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 330 + 2 + 1 + 323 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13211330213196 and 13211330213205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413251353 + ... + 413283320.

It is an arithmetic number, because the mean of its divisors is an integer number (486828922986).

Almost surely, 213211330213232 is an apocalyptic number.

13211330213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13211330213232 is an abundant number, since it is smaller than the sum of its proper divisors (25734983625648).

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

13211330213232 is a wasteful number, since it uses less digits than its factorization.

13211330213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826534727 (or 826534715 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13211330213232 its reverse (23231203311231), we get a palindrome (36442533524463).

The spelling of 13211330213232 in words is "thirteen trillion, two hundred eleven billion, three hundred thirty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 7992 15984 826534673 1653069346 2479604019 3306138692 4959208038 6612277384 7438812057 9918416076 13224554768 14877624114 19836832152 22316436171 29755248228 30581782901 39673664304 44632872342 59510496456 61163565802 89265744684 91745348703 119020992912 122327131604 178531489368 183490697406 244654263208 275236046109 357062978736 366981394812 489308526416 550472092218 733962789624 825708138327 1100944184436 1467925579248 1651416276654 2201888368872 3302832553308 4403776737744 6605665106616 13211330213232