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22122002112201 = 336715511788399
BaseRepresentation
bin1010000011110101011100…
…00100111101111011001001
32220022211202100210210202000
411001322232010331323021
510344421330020042301
6115014412451501213
74442155556252115
oct501725604757311
986284670723660
1022122002112201
117059985522522
1225934858b7809
13c46132769034
145669d3cdc745
1528569d997786
hex141eae13dec9

22122002112201 has 32 divisors (see below), whose sum is σ = 33264677376000. Its totient is φ = 14526926940240.

The previous prime is 22122002112187. The next prime is 22122002112233. The reversal of 22122002112201 is 10221120022122.

It is a happy number.

22122002112201 is a `hidden beast` number, since 2 + 212 + 20 + 0 + 211 + 220 + 1 = 666.

It is not a de Polignac number, because 22122002112201 - 222 = 22121997917897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22122002112251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27665200 + ... + 28453598.

It is an arithmetic number, because the mean of its divisors is an integer number (1039521168000).

Almost surely, 222122002112201 is an apocalyptic number.

It is an amenable number.

22122002112201 is a deficient number, since it is larger than the sum of its proper divisors (11142675263799).

22122002112201 is a wasteful number, since it uses less digits than its factorization.

22122002112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803986 (or 803980 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22122002112201 its reverse (10221120022122), we get a palindrome (32343122134323).

The spelling of 22122002112201 in words is "twenty-two trillion, one hundred twenty-two billion, two million, one hundred twelve thousand, two hundred one".

Divisors: 1 3 9 27 67 201 603 1809 15511 46533 139599 418797 788399 1039237 2365197 3117711 7095591 9353133 21286773 28059399 52822733 158468199 475404597 1426213791 12228856889 36686570667 110059712001 330179136003 819333411563 2458000234689 7374000704067 22122002112201