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11324201200 = 24521321110321
BaseRepresentation
bin10101000101111100…
…11001100011110000
31002020012111000200021
422202332121203300
5141142443414300
65111404533224
7550424056564
oct124276314360
932205430607
1011324201200
114891241a74
122240551214
1310b6149b90
14795d836a4
1546427dd1a
hex2a2f998f0

11324201200 has 120 divisors (see below), whose sum is σ = 29440903856. Its totient is φ = 4161024000.

The previous prime is 11324201183. The next prime is 11324201237. The reversal of 11324201200 is 210242311.

11324201200 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 (16).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1092040 + ... + 1102360.

Almost surely, 211324201200 is an apocalyptic number.

11324201200 is a gapful number since it is divisible by the number (10) 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 11324201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720451928).

11324201200 is an abundant number, since it is smaller than the sum of its proper divisors (18116702656).

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

11324201200 is a wasteful number, since it uses less digits than its factorization.

11324201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10563 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11324201200 its reverse (210242311), we get a palindrome (11534443511).

The spelling of 11324201200 in words is "eleven billion, three hundred twenty-four million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 211 260 325 400 422 520 650 844 1040 1055 1300 1688 2110 2600 2743 3376 4220 5200 5275 5486 8440 10321 10550 10972 13715 16880 20642 21100 21944 27430 41284 42200 43888 51605 54860 68575 82568 84400 103210 109720 134173 137150 165136 206420 219440 258025 268346 274300 412840 516050 536692 548600 670865 825680 1032100 1073384 1097200 1341730 2064200 2146768 2177731 2683460 3354325 4128400 4355462 5366920 6708650 8710924 10733840 10888655 13417300 17421848 21777310 26834600 28310503 34843696 43554620 53669200 54443275 56621006 87109240 108886550 113242012 141552515 174218480 217773100 226484024 283105030 435546200 452968048 566210060 707762575 871092400 1132420120 1415525150 2264840240 2831050300 5662100600 11324201200