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11233210200 = 23352163114859
BaseRepresentation
bin10100111011000110…
…10010111101011000
31001222212021012111020
422131203102331120
5141001200211300
65054354402440
7545240465652
oct123543227530
931885235436
1011233210200
1148449440a3
122215b90420
1310a033bb54
14787c596d2
1545b2a88a0
hex29d8d2f58

11233210200 has 96 divisors (see below), whose sum is σ = 35036894400. Its totient is φ = 2977119360.

The previous prime is 11233210147. The next prime is 11233210201. The reversal of 11233210200 is 201233211.

It is a super-2 number, since 2×112332102002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11233210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233210201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40371 + ... + 155229.

It is an arithmetic number, because the mean of its divisors is an integer number (364967650).

Almost surely, 211233210200 is an apocalyptic number.

11233210200 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 11233210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518447200).

11233210200 is an abundant number, since it is smaller than the sum of its proper divisors (23803684200).

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

11233210200 is a wasteful number, since it uses less digits than its factorization.

11233210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115041 (or 115032 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11233210200 its reverse (201233211), we get a palindrome (11434443411).

The spelling of 11233210200 in words is "eleven billion, two hundred thirty-three million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 114859 229718 344577 459436 574295 689154 918872 1148590 1378308 1722885 2297180 2756616 2871475 3445770 4594360 5742950 6891540 8614425 11485900 13783080 17228850 18722017 22971800 34457700 37444034 56166051 68915400 74888068 93610085 112332102 149776136 187220170 224664204 280830255 374440340 449328408 468050425 561660510 748880680 936100850 1123321020 1404151275 1872201700 2246642040 2808302550 3744403400 5616605100 11233210200