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13230013212 = 2232131091671553
BaseRepresentation
bin11000101001001000…
…11111101100011100
31021011000121022021100
430110210133230130
5204043340410322
610024445033100
7645565154043
oct142444375434
937130538240
1013230013212
115679aa7819
122692855790
13132ac36cb0
148d712155a
15526738dac
hex31491fb1c

13230013212 has 144 divisors (see below), whose sum is σ = 36586630080. Its totient is φ = 4006692864.

The previous prime is 13230013201. The next prime is 13230013213. The reversal of 13230013212 is 21231003231.

13230013212 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230013213) 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 47 ways as a sum of consecutive naturals, for example, 8518228 + ... + 8519780.

It is an arithmetic number, because the mean of its divisors is an integer number (254073820).

Almost surely, 213230013212 is an apocalyptic number.

13230013212 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 13230013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293315040).

13230013212 is an abundant number, since it is smaller than the sum of its proper divisors (23356616868).

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

13230013212 is a wasteful number, since it uses less digits than its factorization.

13230013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1847 counting only the distinct ones).

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

Adding to 13230013212 its reverse (21231003231), we get a palindrome (34461016443).

The spelling of 13230013212 in words is "thirteen billion, two hundred thirty million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 109 117 156 167 218 234 327 334 436 468 501 654 668 981 1002 1308 1417 1503 1553 1962 2004 2171 2834 3006 3106 3924 4251 4342 4659 5668 6012 6212 6513 8502 8684 9318 12753 13026 13977 17004 18203 18636 19539 20189 25506 26052 27954 36406 39078 40378 51012 54609 55908 60567 72812 78156 80756 109218 121134 163827 169277 181701 218436 236639 242268 259351 327654 338554 363402 473278 507831 518702 655308 677108 709917 726804 778053 946556 1015662 1037404 1419834 1523493 1556106 2031324 2129751 2200601 2334159 2839668 3046986 3112212 3371563 4259502 4401202 4668318 6093972 6601803 6743126 8519004 8802404 9336636 10114689 13203606 13486252 19805409 20229378 26407212 28269259 30344067 39610818 40458756 56538518 60688134 79221636 84807777 113077036 121376268 169615554 254423331 339231108 367500367 508846662 735000734 1017693324 1102501101 1470001468 2205002202 3307503303 4410004404 6615006606 13230013212