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20130322201200 = 2432525591756167
BaseRepresentation
bin1001001001110111101001…
…01101000011101001110000
32122021102212202200021020100
410210323310231003221300
510114303344440414300
6110451424203112400
74145240102323221
oct444736455035160
978242782607210
1020130322201200
1164612490a4752
122311484212700
13b30386b5a663
144d8454439248
1524d981141700
hex124ef4b43a70

20130322201200 has 90 divisors (see below), whose sum is σ = 69857809806824. Its totient is φ = 5368085919360.

The previous prime is 20130322201193. The next prime is 20130322201201. The reversal of 20130322201200 is 210222303102.

20130322201200 is a `hidden beast` number, since 20 + 1 + 303 + 2 + 220 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×201303222012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130322201201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2795874484 + ... + 2795881683.

Almost surely, 220130322201200 is an apocalyptic number.

20130322201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130322201200 is an abundant number, since it is smaller than the sum of its proper divisors (49727487605624).

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

20130322201200 is a wasteful number, since it uses less digits than its factorization.

20130322201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591756191 (or 5591756177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20130322201200 its reverse (210222303102), we get a palindrome (20340544504302).

The spelling of 20130322201200 in words is "twenty trillion, one hundred thirty billion, three hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 5591756167 11183512334 16775268501 22367024668 27958780835 33550537002 44734049336 50325805503 55917561670 67101074004 83876342505 89468098672 100651611006 111835123340 134202148008 139793904175 167752685010 201303222012 223670246680 251629027515 268404296016 279587808350 335505370020 402606444024 419381712525 447340493360 503258055030 559175616700 671010740040 805212888048 838763425050 1006516110060 1118351233400 1258145137575 1342021480080 1677526850100 2013032220120 2236702466800 2516290275150 3355053700200 4026064440240 5032580550300 6710107400400 10065161100600 20130322201200