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11244235002 = 23711213170197
BaseRepresentation
bin10100111100011010…
…10110100011111010
31002000122000022200020
422132031112203322
5141012011010002
65055430551310
7545433264150
oct123615264372
932018008606
1011244235002
114850094200
122219808536
1310a26cbcc0
147894c93d0
1545c2352bc
hex29e3568fa

11244235002 has 96 divisors (see below), whose sum is σ = 30423232896. Its totient is φ = 2695904640.

The previous prime is 11244234923. The next prime is 11244235007. The reversal of 11244235002 is 20053244211.

It is not an unprimeable number, because it can be changed into a prime (11244235007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19033 + ... + 151164.

It is an arithmetic number, because the mean of its divisors is an integer number (316908676).

Almost surely, 211244235002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244235002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211616448).

11244235002 is an abundant number, since it is smaller than the sum of its proper divisors (19178997894).

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

11244235002 is a wasteful number, since it uses less digits than its factorization.

11244235002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170244 (or 170233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 11244235002 its reverse (20053244211), we get a palindrome (31297479213).

The spelling of 11244235002 in words is "eleven billion, two hundred forty-four million, two hundred thirty-five thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 170197 340394 510591 1021182 1191379 1872167 2212561 2382758 3574137 3744334 4425122 5616501 6637683 7148274 11233002 13105169 13275366 15487927 20593837 24338171 26210338 30975854 39315507 41187674 46463781 48676342 61781511 73014513 78631014 92927562 123563022 144156859 146029026 170367197 267719881 288313718 340734394 432470577 511101591 535439762 803159643 864941154 1022203182 1606319286 1874039167 3748078334 5622117501 11244235002