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11001100122221 = 113137985122139
BaseRepresentation
bin1010000000010110010010…
…1010100011100001101101
31102221200202120201200021212
42200011210222203201231
52420220223112402341
635221500255004205
72213542342105616
oct240054452434155
942850676650255
1011001100122221
1135615a4248030
121298106209665
1361a526318551
142a0655706c0d
1514126d0665eb
hexa0164aa386d

11001100122221 has 16 divisors (see below), whose sum is σ = 12421022668800. Its totient is φ = 9652850449200.

The previous prime is 11001100122211. The next prime is 11001100122239. The reversal of 11001100122221 is 12222100110011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11001100122221 is a prime.

It is a super-2 number, since 2×110011001222212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11001100122196 and 11001100122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100122211) 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, 42431831 + ... + 42690308.

It is an arithmetic number, because the mean of its divisors is an integer number (776313916800).

Almost surely, 211001100122221 is an apocalyptic number.

11001100122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001100122221 is a deficient number, since it is larger than the sum of its proper divisors (1419922546579).

11001100122221 is a wasteful number, since it uses less digits than its factorization.

11001100122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85122560.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11001100122221 its reverse (12222100110011), we get a palindrome (23223200232232).

The spelling of 11001100122221 in words is "eleven trillion, one billion, one hundred million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 31 341 379 4169 11749 129239 85122139 936343529 2638786309 29026649399 32261290681 354874197491 1000100011111 11001100122221