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10353433244 = 22721122112069
BaseRepresentation
bin10011010010001110…
…01101101010011100
3222201112210220101112
421221013031222130
5132200434330434
64431210001152
7514365505400
oct115107155234
928645726345
1010353433244
114433274700
12200b4161b8
13c8cca627b
14703085100
15408e23dce
hex2691cda9c

10353433244 has 108 divisors (see below), whose sum is σ = 23287922280. Its totient is φ = 4012747200.

The previous prime is 10353433229. The next prime is 10353433261. The reversal of 10353433244 is 44233435301.

10353433244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10353433244.

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 35 ways as a sum of consecutive naturals, for example, 5003042 + ... + 5005110.

It is an arithmetic number, because the mean of its divisors is an integer number (215628910).

Almost surely, 210353433244 is an apocalyptic number.

10353433244 is a gapful number since it is divisible by the number (14) 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 10353433244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643961140).

10353433244 is an abundant number, since it is smaller than the sum of its proper divisors (12934489036).

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

10353433244 is a wasteful number, since it uses less digits than its factorization.

10353433244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 10353433244 its reverse (44233435301), we get a palindrome (54586868545).

The spelling of 10353433244 in words is "ten billion, three hundred fifty-three million, four hundred thirty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 211 242 308 422 484 539 844 847 1078 1477 1694 2069 2156 2321 2954 3388 4138 4642 5908 5929 8276 9284 10339 11858 14483 16247 20678 22759 23716 25531 28966 32494 41356 45518 51062 57932 64988 91036 101381 102124 113729 159313 178717 202762 227458 250349 318626 357434 405524 436559 454916 500698 637252 714868 873118 1001396 1115191 1251019 1746236 1752443 2230382 2502038 3055913 3504886 4460764 4802149 5004076 6111826 7009772 9604298 12223652 12267101 19208596 21391391 24534202 33615043 42782782 49068404 52823639 67230086 85565564 105647278 134460172 211294556 235305301 369765473 470610602 739530946 941221204 1479061892 2588358311 5176716622 10353433244