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11320101013221 = 32711133733960337
BaseRepresentation
bin1010010010111010101010…
…0110011000011011100101
31111002012011022011222101200
42210232222212120123211
52440432031324410341
640024214351113113
72245564440665040
oct244565246303345
944065138158350
1011320101013221
1136749119a8a30
121329ab2b12799
13641633837310
142b1c78175c57
151496dd8d8db6
hexa4baa9986e5

11320101013221 has 96 divisors (see below), whose sum is σ = 22547490970368. Its totient is φ = 5281511454720.

The previous prime is 11320101013121. The next prime is 11320101013223. The reversal of 11320101013221 is 12231010102311.

11320101013221 is a `hidden beast` number, since 1 + 1 + 320 + 10 + 10 + 1 + 322 + 1 = 666.

11320101013221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11320101013221 - 211 = 11320101011173 is a prime.

It is a super-2 number, since 2×113201010132212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11320101013194 and 11320101013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320101013223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16646836 + ... + 17313501.

It is an arithmetic number, because the mean of its divisors is an integer number (234869697608).

Almost surely, 211320101013221 is an apocalyptic number.

11320101013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11320101013221 is a deficient number, since it is larger than the sum of its proper divisors (11227389957147).

11320101013221 is a wasteful number, since it uses less digits than its factorization.

11320101013221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33960411 (or 33960408 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11320101013221 its reverse (12231010102311), we get a palindrome (23551111115532).

The spelling of 11320101013221 in words is "eleven trillion, three hundred twenty billion, one hundred one million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 33960337 101881011 237722359 305643033 373563707 441484381 713167077 1120691121 1256532469 1324453143 2139501231 2614945949 3090390667 3362073363 3769597407 3973359429 4856328191 7844837847 8795727283 9271172001 11308792221 13821857159 14568984573 16334922097 23534513541 26387181849 27813516003 33994297337 41465571477 43706953719 49004766291 79161545547 96753000113 101982892011 114344454679 124396714431 147014298873 179684143067 290259000339 305948676033 343033364037 539052429201 870777001017 1029100092111 1257789001469 1617157287603 3773367004407 11320101013221