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11023210112 = 271095991319
BaseRepresentation
bin10100100010000100…
…01101011010000000
31001110020010002112012
422101002031122000
5140033420210422
65021453352052
7540110511545
oct122102153200
931406102465
1011023210112
114747350a02
122177798628
131068992c45
14767dd2bcc
15447b264e2
hex29108d680

11023210112 has 64 divisors (see below), whose sum is σ = 22215600000. Its totient is φ = 5447789568.

The previous prime is 11023210111. The next prime is 11023210117. The reversal of 11023210112 is 21101232011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×110232101122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11023210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8356589 + ... + 8357907.

It is an arithmetic number, because the mean of its divisors is an integer number (347118750).

Almost surely, 211023210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107800000).

11023210112 is an abundant number, since it is smaller than the sum of its proper divisors (11192389888).

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

11023210112 is a wasteful number, since it uses less digits than its factorization.

11023210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11023210112 its reverse (21101232011), we get a palindrome (32124442123).

The spelling of 11023210112 in words is "eleven billion, twenty-three million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 599 872 1198 1319 1744 2396 2638 3488 4792 5276 6976 9584 10552 13952 19168 21104 38336 42208 65291 76672 84416 130582 143771 168832 261164 287542 522328 575084 790081 1044656 1150168 1580162 2089312 2300336 3160324 4178624 4600672 6320648 8357248 9201344 12641296 18402688 25282592 50565184 86118829 101130368 172237658 344475316 688950632 1377901264 2755802528 5511605056 11023210112