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11132220132 = 22321161974751
BaseRepresentation
bin10100101111000100…
…00011001011100100
31001201211020101011100
422113202003023210
5140244322021012
65040350040100
7542603211165
oct122742031344
931654211140
1011132220132
1147a2936830
1221a81a9030
13108543c807
1477868b76c
154524aa8dc
hex2978832e4

11132220132 has 144 divisors (see below), whose sum is σ = 31529481984. Its totient is φ = 3283200000.

The previous prime is 11132220103. The next prime is 11132220139. The reversal of 11132220132 is 23102223111.

11132220132 is a `hidden beast` number, since 111 + 322 + 201 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11132220139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340757 + ... + 2345507.

It is an arithmetic number, because the mean of its divisors is an integer number (218954736).

Almost surely, 211132220132 is an apocalyptic number.

11132220132 is a gapful number since it is divisible by the number (12) 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 11132220132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764740992).

11132220132 is an abundant number, since it is smaller than the sum of its proper divisors (20397261852).

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

11132220132 is a wasteful number, since it uses less digits than its factorization.

11132220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132220132 its reverse (23102223111), we get a palindrome (34234443243).

The spelling of 11132220132 in words is "eleven billion, one hundred thirty-two million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 97 99 122 132 183 194 198 244 291 366 388 396 549 582 671 732 873 1067 1098 1164 1342 1746 2013 2134 2196 2684 3201 3492 4026 4268 4751 5917 6039 6402 8052 9502 9603 11834 12078 12804 14253 17751 19004 19206 23668 24156 28506 35502 38412 42759 52261 53253 57012 65087 71004 85518 104522 106506 130174 156783 171036 195261 209044 213012 260348 289811 313566 390522 460847 470349 579622 585783 627132 781044 869433 921694 940698 1159244 1171566 1382541 1738866 1843388 1881396 2343132 2608299 2765082 3187921 3477732 4147623 5069317 5216598 5530164 6375842 8295246 9563763 10138634 10433196 12751684 15207951 16590492 19127526 20277268 28111667 28691289 30415902 38255052 45623853 56223334 57382578 60831804 84335001 91247706 112446668 114765156 168670002 182495412 253005003 309228337 337340004 506010006 618456674 927685011 1012020012 1236913348 1855370022 2783055033 3710740044 5566110066 11132220132