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11333012033321 = 11127173373125717
BaseRepresentation
bin1010010011101010110000…
…1010000000111100101001
31111010102111002112202101022
42210322230022000330221
52441140002040031241
640034151443102225
72246532413566046
oct244725412007451
944112432482338
1011333012033321
11367a337929480
1213304b6971975
13642910653494
142b2740b7c1cd
15149be711154b
hexa4eac280f29

11333012033321 has 32 divisors (see below), whose sum is σ = 12566360936448. Its totient is φ = 10135203805440.

The previous prime is 11333012033263. The next prime is 11333012033333. The reversal of 11333012033321 is 12333021033311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11333012033321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11333012033381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90084155 + ... + 90209871.

It is an arithmetic number, because the mean of its divisors is an integer number (392698779264).

Almost surely, 211333012033321 is an apocalyptic number.

11333012033321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11333012033321 is a deficient number, since it is larger than the sum of its proper divisors (1233348903127).

11333012033321 is a wasteful number, since it uses less digits than its factorization.

11333012033321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126401.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 11333012033321 its reverse (12333021033311), we get a palindrome (23666033066632).

The spelling of 11333012033321 in words is "eleven trillion, three hundred thirty-three billion, twelve million, thirty-three thousand, three hundred twenty-one".

Divisors: 1 11 127 173 373 1397 1903 4103 21971 47371 64529 125717 241681 521081 709819 1382887 8195183 15966059 21749041 46892441 90147013 175626649 239239451 515816851 2762128207 5955340007 8112392293 30383410277 65508740077 89236315223 1030273821211 11333012033321