Search a number
-
+
11232242112 = 263713642871
BaseRepresentation
bin10100111010111111…
…00110100111000000
31001222210110000112010
422131133212213000
5141000423221422
65054321532520
7545226324360
oct123537464700
931883400463
1011232242112
114844342823
1222157a4140
1310a0090310
14787a869a0
1545b166b0c
hex29d7e69c0

11232242112 has 112 divisors (see below), whose sum is σ = 36576845312. Its totient is φ = 2962344960.

The previous prime is 11232242111. The next prime is 11232242113. The reversal of 11232242112 is 21124223211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11232242111) and next prime (11232242113).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232242111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303964 + ... + 338907.

It is an arithmetic number, because the mean of its divisors is an integer number (326578976).

Almost surely, 211232242112 is an apocalyptic number.

11232242112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11232242112 is an abundant number, since it is smaller than the sum of its proper divisors (25344603200).

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

11232242112 is a wasteful number, since it uses less digits than its factorization.

11232242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642906 (or 642896 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 11232242112 its reverse (21124223211), we get a palindrome (32356465323).

The spelling of 11232242112 in words is "eleven billion, two hundred thirty-two million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 17472 642871 1285742 1928613 2571484 3857226 4500097 5142968 7714452 8357323 9000194 10285936 13500291 15428904 16714646 18000388 20571872 25071969 27000582 30857808 33429292 36000776 41143744 50143938 54001164 58501261 61715616 66858584 72001552 100287876 108002328 117002522 123431232 133717168 144003104 175503783 200575752 216004656 234005044 267434336 288006208 351007566 401151504 432009312 468010088 534868672 702015132 802303008 864018624 936020176 1404030264 1604606016 1872040352 2808060528 3744080704 5616121056 11232242112