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22112012221101 = 32116173557101771
BaseRepresentation
bin1010000011100010110101…
…01000100011101010101101
32220021212222011001202102100
411001301122220203222231
510344240400112033401
6115010041305445313
74441353163502145
oct501613250435255
986255864052370
1022112012221101
117055719492480
1225915581a0839
13c451ccbaab7a
1456632724b925
152852b6934b86
hex141c5aa23aad

22112012221101 has 48 divisors (see below), whose sum is σ = 34909797244608. Its totient is φ = 13375606675200.

The previous prime is 22112012221099. The next prime is 22112012221129. The reversal of 22112012221101 is 10112221021122.

22112012221101 is a `hidden beast` number, since 221 + 120 + 1 + 2 + 221 + 101 = 666.

It is not a de Polignac number, because 22112012221101 - 21 = 22112012221099 is a prime.

It is a super-2 number, since 2×221120122211012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112012221181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217221346 + ... + 217323116.

It is an arithmetic number, because the mean of its divisors is an integer number (727287442596).

Almost surely, 222112012221101 is an apocalyptic number.

It is an amenable number.

22112012221101 is a deficient number, since it is larger than the sum of its proper divisors (12797785023507).

22112012221101 is a wasteful number, since it uses less digits than its factorization.

22112012221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105962 (or 105959 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112012221101 its reverse (10112221021122), we get a palindrome (32224233242223).

The spelling of 22112012221101 in words is "twenty-two trillion, one hundred twelve billion, twelve million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 33 99 617 1851 3557 5553 6787 10671 20361 32013 39127 61083 101771 117381 305313 352143 915939 1119481 2194669 3358443 6584007 10075329 19752021 24141359 62792707 72424077 188378121 217272231 361999447 565134363 690719777 1085998341 2072159331 3257995023 3981993917 6216477993 11945981751 35837945253 223353658799 670060976397 2010182929191 2456890246789 7370670740367 22112012221101