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11553103002 = 237314324799
BaseRepresentation
bin10101100001001111…
…00101110010011010
31002211011012102220210
422300213211302122
5142130043244002
65150223031550
7556203520020
oct126047456232
932734172823
1011553103002
114999475311
1222a513b5b6
1311216b332c
147b852a710
154793e696c
hex2b09e5c9a

11553103002 has 96 divisors (see below), whose sum is σ = 27913420800. Its totient is φ = 3119467680.

The previous prime is 11553102973. The next prime is 11553103043. The reversal of 11553103002 is 20030135511.

11553103002 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11553103002.

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, 2404999 + ... + 2409797.

It is an arithmetic number, because the mean of its divisors is an integer number (290764800).

Almost surely, 211553103002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553103002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956710400).

11553103002 is an abundant number, since it is smaller than the sum of its proper divisors (16360317798).

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

11553103002 is a wasteful number, since it uses less digits than its factorization.

11553103002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 11553103002 its reverse (20030135511), we get a palindrome (31583238513).

The spelling of 11553103002 in words is "eleven billion, five hundred fifty-three million, one hundred three thousand, two".

Divisors: 1 2 3 6 7 14 21 31 42 43 62 86 93 129 186 217 258 301 434 602 651 903 1302 1333 1806 1849 2666 3698 3999 4799 5547 7998 9331 9598 11094 12943 14397 18662 25886 27993 28794 33593 38829 55986 57319 67186 77658 100779 114638 148769 171957 201558 206357 297538 343914 401233 412714 446307 619071 802466 892614 1041383 1203699 1238142 1444499 2082766 2407398 2888998 3124149 4333497 6248298 6397067 8666994 8873351 12794134 17746702 19191201 26620053 38382402 44779469 53240106 62113457 89558938 124226914 134338407 186340371 268676814 275073881 372680742 550147762 825221643 1650443286 1925517167 3851034334 5776551501 11553103002