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13211142012 = 2233354734487
BaseRepresentation
bin11000100110111001…
…00000011101111100
31021002201002112212000
430103130200131330
5204024023021022
610022532342300
7645245566005
oct142334403574
937081075760
1013211142012
11566a388592
122688474990
13132705a5c3
148d480c1ac
15524c5c6ac
hex31372077c

13211142012 has 48 divisors (see below), whose sum is σ = 34261758720. Its totient is φ = 4402344816.

The previous prime is 13211142011. The next prime is 13211142029. The reversal of 13211142012 is 21024111231.

13211142012 is a `hidden beast` number, since 132 + 111 + 420 + 1 + 2 = 666.

13211142012 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 2×132111420122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211142011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365833 + ... + 400319.

It is an arithmetic number, because the mean of its divisors is an integer number (713786640).

Almost surely, 213211142012 is an apocalyptic number.

13211142012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13211142012 is an abundant number, since it is smaller than the sum of its proper divisors (21050616708).

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

13211142012 is a wasteful number, since it uses less digits than its factorization.

13211142012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38047 (or 38039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13211142012 its reverse (21024111231), we get a palindrome (34235253243).

The spelling of 13211142012 in words is "thirteen billion, two hundred eleven million, one hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 3547 7094 10641 14188 21282 31923 34487 42564 63846 68974 95769 103461 127692 137948 191538 206922 310383 383076 413844 620766 931149 1241532 1862298 3724596 122325389 244650778 366976167 489301556 733952334 1100928501 1467904668 2201857002 3302785503 4403714004 6605571006 13211142012