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11323303112 = 231129101197223
BaseRepresentation
bin10101000101110101…
…11110010011001000
31002020010210101201202
422202322332103020
5141142231144422
65111333403332
7550413326342
oct124272762310
932203711652
1011323303112
114890789250
122240199548
1310b5bc4174
14795bcc292
15464152b92
hex2a2ebe4c8

11323303112 has 128 divisors (see below), whose sum is σ = 24429081600. Its totient is φ = 4873344000.

The previous prime is 11323303097. The next prime is 11323303151. The reversal of 11323303112 is 21130332311.

11323303112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 50777033 + ... + 50777255.

It is an arithmetic number, because the mean of its divisors is an integer number (190852200).

Almost surely, 211323303112 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 11323303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12214540800).

11323303112 is an abundant number, since it is smaller than the sum of its proper divisors (13105778488).

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

11323303112 is a wasteful number, since it uses less digits than its factorization.

11323303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 11323303112 its reverse (21130332311), we get a palindrome (32453635423).

The spelling of 11323303112 in words is "eleven billion, three hundred twenty-three million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 101 116 197 202 223 232 319 394 404 446 638 788 808 892 1111 1276 1576 1784 2167 2222 2453 2552 2929 4334 4444 4906 5713 5858 6467 8668 8888 9812 11426 11716 12934 17336 19624 19897 22523 22852 23432 25868 32219 39794 43931 45046 45704 51736 62843 64438 71137 79588 87862 90092 125686 128876 142274 159176 175724 180184 218867 247753 251372 257752 284548 351448 437734 483241 495506 502744 569096 577013 653167 875468 966482 991012 1154026 1273999 1306334 1750936 1932964 1982024 2308052 2547998 2612668 3865928 4437031 4616104 5095996 5225336 6347143 7184837 8874062 10191992 12694286 14013989 14369674 17748124 25388572 28027978 28739348 35496248 48807341 50777144 56055956 57478696 97614682 112111912 128673899 195229364 257347798 390458728 514695596 1029391192 1415412889 2830825778 5661651556 11323303112