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22111021221201 = 32113117955577243
BaseRepresentation
bin1010000011100000111111…
…00100001100010101010001
32220021210102002022202010100
411001300133210030111101
510344231332413034301
6115005355105123013
74441316501234463
oct501603744142521
986253362282110
1022111021221201
1170552600565a0
122591320329469
13c450a27a23b3
145662717a4133
15285259930286
hex141c1f90c551

22111021221201 has 96 divisors (see below), whose sum is σ = 36177959301120. Its totient is φ = 12891791260800.

The previous prime is 22111021221199. The next prime is 22111021221239. The reversal of 22111021221201 is 10212212011122.

22111021221201 is a `hidden beast` number, since 2 + 211 + 10 + 21 + 221 + 201 = 666.

It is not a de Polignac number, because 22111021221201 - 21 = 22111021221199 is a prime.

It is a super-2 number, since 2×221110212212012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22111021221281) 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 95 ways as a sum of consecutive naturals, for example, 3052739886 + ... + 3052747128.

It is an arithmetic number, because the mean of its divisors is an integer number (376853742720).

Almost surely, 222111021221201 is an apocalyptic number.

It is an amenable number.

22111021221201 is a deficient number, since it is larger than the sum of its proper divisors (14066938079919).

22111021221201 is a wasteful number, since it uses less digits than its factorization.

22111021221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027 (or 13024 counting only the distinct ones).

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

Adding to 22111021221201 its reverse (10212212011122), we get a palindrome (32323233232323).

The spelling of 22111021221201 in words is "twenty-two trillion, one hundred eleven billion, twenty-one million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 11 31 33 93 99 179 279 341 537 1023 1611 1969 3069 5549 5557 5907 7243 16647 16671 17721 21729 49941 50013 61039 61127 65187 79673 172267 183117 183381 224533 239019 516801 549351 550143 673599 717057 994703 1296497 1550403 1894937 2020797 2469863 2984109 3889491 5684811 7409589 8952327 10941733 11668473 14261467 17054433 22228767 30835793 32825199 40191407 40249351 42784401 92507379 98475597 120574221 120748053 128353203 277522137 339193723 361722663 362244159 442105477 442742861 1017581169 1247729881 1326316431 1328228583 3052743507 3743189643 3978949293 3984685749 7204633829 11229568929 13725028691 21613901487 41175086073 64841704461 79250972119 123525258219 223343648699 237752916357 670030946097 713258749071 2010092838291 2456780135689 7370340407067 22111021221201