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11212332032 = 210114721179
BaseRepresentation
bin10100111000100111…
…01001110000000000
31001221101222111000202
422130103221300000
5140430324111112
65052331104332
7544565151446
oct123423516000
931841874022
1011212332032
114834084010
12220aba20a8
131098c0bac5
14785182b96
154595326c2
hex29c4e9c00

11212332032 has 88 divisors (see below), whose sum is σ = 24972744960. Its totient is φ = 4987842560.

The previous prime is 11212332017. The next prime is 11212332059. The reversal of 11212332032 is 23023321211.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 11212331995 and 11212332013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 518819 + ... + 539997.

Almost surely, 211212332032 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 11212332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12486372480).

11212332032 is an abundant number, since it is smaller than the sum of its proper divisors (13760412928).

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

11212332032 is a wasteful number, since it uses less digits than its factorization.

11212332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21257 (or 21239 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11212332032 its reverse (23023321211), we get a palindrome (34235653243).

The spelling of 11212332032 in words is "eleven billion, two hundred twelve million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1024 1034 1408 1504 2068 2816 3008 4136 5632 6016 8272 11264 12032 16544 21179 24064 33088 42358 48128 66176 84716 132352 169432 232969 264704 338864 465938 529408 677728 931876 995413 1355456 1863752 1990826 2710912 3727504 3981652 5421824 7455008 7963304 10843648 10949543 14910016 15926608 21687296 21899086 29820032 31853216 43798172 59640064 63706432 87596344 119280128 127412864 175192688 238560256 254825728 350385376 509651456 700770752 1019302912 1401541504 2803083008 5606166016 11212332032