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11343610124 = 22711228311831
BaseRepresentation
bin10101001000010000…
…11100000100001100
31002021120000002201022
422210020130010030
5141212431010444
65113340533312
7551051044430
oct124410340414
932246002638
1011343610124
1148a1199200
122246b51238
1310ba184252
147987969c0
15465d149ee
hex2a421c10c

11343610124 has 72 divisors (see below), whose sum is σ = 25027425024. Its totient is φ = 4403599200.

The previous prime is 11343610121. The next prime is 11343610127. The reversal of 11343610124 is 42101634311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11343610121) and next prime (11343610127).

It is a super-3 number, since 3×113436101243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11343610093 and 11343610102.

It is not an unprimeable number, because it can be changed into a prime (11343610121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952889 + ... + 964719.

Almost surely, 211343610124 is an apocalyptic number.

11343610124 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 11343610124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513712512).

11343610124 is an abundant number, since it is smaller than the sum of its proper divisors (13683814900).

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

11343610124 is a wasteful number, since it uses less digits than its factorization.

11343610124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11343610124 in words is "eleven billion, three hundred forty-three million, six hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 283 308 484 566 847 1132 1694 1981 3113 3388 3962 6226 7924 11831 12452 21791 23662 34243 43582 47324 68486 82817 87164 130141 136972 165634 239701 260282 331268 479402 520564 910987 958804 1431551 1821974 2863102 3348173 3643948 5726204 6696346 10020857 13392692 20041714 23437211 36829903 40083428 46874422 73659806 93748844 147319612 257809321 405128933 515618642 810257866 1031237284 1620515732 2835902531 5671805062 11343610124