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13440100212 = 223271120112411
BaseRepresentation
bin11001000010001011…
…11010011101110100
31021200122220211110100
430201011322131310
5210011131201322
610101351554100
7654025652430
oct144105723564
937618824410
1013440100212
11577764a240
12273108b930
131362613626
14916dab9c0
15539dd6dac
hex32117a774

13440100212 has 144 divisors (see below), whose sum is σ = 42395318784. Its totient is φ = 3487752000.

The previous prime is 13440100099. The next prime is 13440100273. The reversal of 13440100212 is 21200104431.

13440100212 is a `hidden beast` number, since 1 + 3 + 440 + 10 + 0 + 212 = 666.

13440100212 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 an unprimeable number.

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, 5573287 + ... + 5575697.

It is an arithmetic number, because the mean of its divisors is an integer number (294411936).

Almost surely, 213440100212 is an apocalyptic number.

13440100212 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 13440100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197659392).

13440100212 is an abundant number, since it is smaller than the sum of its proper divisors (28955218572).

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

13440100212 is a wasteful number, since it uses less digits than its factorization.

13440100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13440100212 its reverse (21200104431), we get a palindrome (34640204643).

The spelling of 13440100212 in words is "thirteen billion, four hundred forty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2011 2411 2772 4022 4822 6033 7233 8044 9644 12066 14077 14466 16877 18099 21699 22121 24132 26521 28154 28932 33754 36198 42231 43398 44242 50631 53042 56308 66363 67508 72396 79563 84462 86796 88484 101262 106084 126693 132726 151893 154847 159126 168924 185647 199089 202524 238689 253386 265452 303786 309694 318252 371294 398178 464541 477378 506772 556941 607572 619388 742588 796356 929082 954756 1113882 1393623 1670823 1858164 2227764 2787246 3341646 4848521 5574492 6683292 9697042 14545563 19394084 29091126 33939647 43636689 53333731 58182252 67879294 87273378 101818941 106667462 135758588 160001193 174546756 203637882 213334924 305456823 320002386 373336117 407275764 480003579 610913646 640004772 746672234 960007158 1120008351 1221827292 1493344468 1920014316 2240016702 3360025053 4480033404 6720050106 13440100212