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11132211112 = 23111910165921
BaseRepresentation
bin10100101111000100…
…00000111110101000
31001201211012220210021
422113202000332220
5140244321223422
65040345530224
7542603142661
oct122742007650
931654186707
1011132211112
1147a292aa80
1221a81a3974
131085438689
14778688368
154524a7dc7
hex297880fa8

11132211112 has 64 divisors (see below), whose sum is σ = 24206558400. Its totient is φ = 4746240000.

The previous prime is 11132211089. The next prime is 11132211113. The reversal of 11132211112 is 21111223111.

It is a happy number.

It is a super-2 number, since 2×111322111122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11132211113) 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, 135912 + ... + 201832.

It is an arithmetic number, because the mean of its divisors is an integer number (378227475).

Almost surely, 211132211112 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 11132211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103279200).

11132211112 is an abundant number, since it is smaller than the sum of its proper divisors (13074347288).

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

11132211112 is a wasteful number, since it uses less digits than its factorization.

11132211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66058 (or 66054 counting only the distinct ones).

The product of its digits is 24, while the sum is 16.

Adding to 11132211112 its reverse (21111223111), we get a palindrome (32243434223).

It can be divided in two parts, 111 and 32211112, that added together give a palindrome (32211223).

The spelling of 11132211112 in words is "eleven billion, one hundred thirty-two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 152 202 209 404 418 808 836 1111 1672 1919 2222 3838 4444 7676 8888 15352 21109 42218 65921 84436 131842 168872 263684 527368 725131 1252499 1450262 2504998 2900524 5009996 5801048 6658021 10019992 13316042 13777489 26632084 27554978 53264168 55109956 73238231 110219912 126502399 146476462 253004798 292952924 506009596 585905848 1012019192 1391526389 2783052778 5566105556 11132211112