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11023133202 = 2323122632423
BaseRepresentation
bin10100100010000011…
…11010101000010010
31001110012222012000200
422101001322220102
5140033410230302
65021452000030
7540110041404
oct122101725022
931405865020
1011023133202
1147472a9144
122177760016
131068966c33
14767db2b74
15447b0d81c
hex29107aa12

11023133202 has 72 divisors (see below), whose sum is σ = 24782801472. Its totient is φ = 3540867120.

The previous prime is 11023133197. The next prime is 11023133213. The reversal of 11023133202 is 20233132011.

11023133202 is a `hidden beast` number, since 110 + 231 + 3 + 320 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 4548163 + ... + 4550585.

It is an arithmetic number, because the mean of its divisors is an integer number (344205576).

Almost surely, 211023133202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023133202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12391400736).

11023133202 is an abundant number, since it is smaller than the sum of its proper divisors (13759668270).

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

11023133202 is a wasteful number, since it uses less digits than its factorization.

11023133202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11023133202 its reverse (20233132011), we get a palindrome (31256265213).

The spelling of 11023133202 in words is "eleven billion, twenty-three million, one hundred thirty-three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 186 263 279 526 558 789 961 1578 1922 2367 2423 2883 4734 4846 5766 7269 8153 8649 14538 16306 17298 21807 24459 43614 48918 73377 75113 146754 150226 225339 252743 450678 505486 637249 676017 758229 1274498 1352034 1516458 1911747 2274687 2328503 3823494 4549374 4657006 5735241 6985509 11470482 13971018 19754719 20956527 39509438 41913054 59264157 118528314 177792471 355584942 612396289 1224792578 1837188867 3674377734 5511566601 11023133202