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13210212312 = 23321172722943
BaseRepresentation
bin11000100110110001…
…11101011111011000
31021002122100022112200
430103120331133120
5204023303243222
610022500410200
7645234644343
oct142330753730
937078308480
1013210212312
115669903040
1226880a6960
131326ac339b
148d464945a
15524b26eac
hex31363d7d8

13210212312 has 96 divisors (see below), whose sum is σ = 39085562880. Its totient is φ = 3997414080.

The previous prime is 13210212299. The next prime is 13210212331. The reversal of 13210212312 is 21321201231.

13210212312 is a `hidden beast` number, since 132 + 10 + 212 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564313 + ... + 587255.

It is an arithmetic number, because the mean of its divisors is an integer number (407141280).

Almost surely, 213210212312 is an apocalyptic number.

13210212312 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 13210212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19542781440).

13210212312 is an abundant number, since it is smaller than the sum of its proper divisors (25875350568).

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

13210212312 is a wasteful number, since it uses less digits than its factorization.

13210212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23693 (or 23686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210212312 its reverse (21321201231), we get a palindrome (34531413543).

It can be divided in two parts, 13210 and 212312, that added together give a palindrome (225522).

The spelling of 13210212312 in words is "thirteen billion, two hundred ten million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 727 792 1454 2181 2908 4362 5816 6543 7997 8724 13086 15994 17448 22943 23991 26172 31988 45886 47982 52344 63976 68829 71973 91772 95964 137658 143946 183544 191928 206487 252373 275316 287892 412974 504746 550632 575784 757119 825948 1009492 1514238 1651896 2018984 2271357 3028476 4542714 6056952 9085428 16679561 18170856 33359122 50038683 66718244 100077366 133436488 150116049 183475171 200154732 300232098 366950342 400309464 550425513 600464196 733900684 1100851026 1200928392 1467801368 1651276539 2201702052 3302553078 4403404104 6605106156 13210212312