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11012132112 = 2431038212713
BaseRepresentation
bin10100100000101111…
…11100110100010000
31001102110021021100220
422100113330310100
5140023101211422
65020420113040
7536614402302
oct122027746420
931373237326
1011012132112
114741074933
122173b35780
1310665b4807
1476674b972
15446b88e5c
hex2905fcd10

11012132112 has 80 divisors (see below), whose sum is σ = 28769789568. Its totient is φ = 3629306880.

The previous prime is 11012132107. The next prime is 11012132189. The reversal of 11012132112 is 21123121011.

It is a junction number, because it is equal to n+sod(n) for n = 11012132091 and 11012132100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057668 + ... + 4060380.

Almost surely, 211012132112 is an apocalyptic number.

11012132112 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 11012132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384894784).

11012132112 is an abundant number, since it is smaller than the sum of its proper divisors (17757657456).

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

11012132112 is a wasteful number, since it uses less digits than its factorization.

11012132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11012132112 its reverse (21123121011), we get a palindrome (32135253123).

The spelling of 11012132112 in words is "eleven billion, twelve million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 821 824 1236 1642 1648 2463 2472 2713 3284 4926 4944 5426 6568 8139 9852 10852 13136 16278 19704 21704 32556 39408 43408 65112 84563 130224 169126 253689 279439 338252 507378 558878 676504 838317 1014756 1117756 1353008 1676634 2029512 2227373 2235512 3353268 4059024 4454746 4471024 6682119 6706536 8909492 13364238 13413072 17818984 26728476 35637968 53456952 106913904 229419419 458838838 688258257 917677676 1376516514 1835355352 2753033028 3670710704 5506066056 11012132112