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13121366244 = 2237535215657
BaseRepresentation
bin11000011100001100…
…00010100011100100
31020212110011110122120
430032012002203210
5203333032204434
610010004225540
7643105526040
oct141606024344
936773143576
1013121366244
11562373a738
12266239b2b0
13131158674c
148c691d020
1551be27349
hex30e1828e4

13121366244 has 96 divisors (see below), whose sum is σ = 35725245696. Its totient is φ = 3670517760.

The previous prime is 13121366227. The next prime is 13121366261. The reversal of 13121366244 is 44266312131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13121366227) and next prime (13121366261).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316664 + ... + 2322320.

It is an arithmetic number, because the mean of its divisors is an integer number (372137976).

Almost surely, 213121366244 is an apocalyptic number.

13121366244 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 13121366244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862622848).

13121366244 is an abundant number, since it is smaller than the sum of its proper divisors (22603879452).

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

13121366244 is a wasteful number, since it uses less digits than its factorization.

13121366244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6243 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 13121366244 its reverse (44266312131), we get a palindrome (57387678375).

The spelling of 13121366244 in words is "thirteen billion, one hundred twenty-one million, three hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 521 636 742 1042 1113 1484 1563 2084 2226 3126 3647 4452 5657 6252 7294 10941 11314 14588 16971 21882 22628 27613 33942 39599 43764 55226 67884 79198 82839 110452 118797 158396 165678 193291 237594 299821 331356 386582 475188 579873 599642 773164 899463 1159746 1199284 1798926 2098747 2319492 2947297 3597852 4197494 5894594 6296241 8394988 8841891 11789188 12592482 17683782 20631079 25184964 35367564 41262158 61893237 82524316 123786474 156206741 247572948 312413482 468620223 624826964 937240446 1093447187 1874480892 2186894374 3280341561 4373788748 6560683122 13121366244