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11132321112 = 23321147299063
BaseRepresentation
bin10100101111000100…
…11011110101011000
31001201211102111200100
422113202123311120
5140244333233422
65040352135400
7542604111453
oct122742336530
931654374610
1011132321112
1147a29a5690
1221a8237560
131085476773
147786b649a
154524ca7ac
hex29789bd58

11132321112 has 96 divisors (see below), whose sum is σ = 33590868480. Its totient is φ = 3301644480.

The previous prime is 11132321111. The next prime is 11132321113. The reversal of 11132321112 is 21112323111.

It is an interprime number because it is at equal distance from previous prime (11132321111) and next prime (11132321113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132321111) 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, 112308 + ... + 186755.

It is an arithmetic number, because the mean of its divisors is an integer number (349904880).

Almost surely, 211132321112 is an apocalyptic number.

11132321112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11132321112 is an abundant number, since it is smaller than the sum of its proper divisors (22458547368).

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

11132321112 is a wasteful number, since it uses less digits than its factorization.

11132321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299133 (or 299126 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11132321112 its reverse (21112323111), we get a palindrome (32244644223).

The spelling of 11132321112 in words is "eleven billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1034 1128 1551 1692 2068 3102 3384 4136 4653 6204 9306 12408 18612 37224 299063 598126 897189 1196252 1794378 2392504 2691567 3289693 3588756 5383134 6579386 7177512 9869079 10766268 13158772 14055961 19738158 21532536 26317544 28111922 29607237 39476316 42167883 56223844 59214474 78952632 84335766 112447688 118428948 126503649 154615571 168671532 236857896 253007298 309231142 337343064 463846713 506014596 618462284 927693426 1012029192 1236924568 1391540139 1855386852 2783080278 3710773704 5566160556 11132321112