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22210212212001 = 32116110933741251
BaseRepresentation
bin1010000110011001101111…
…10011110010110100100001
32220122021102212200011101100
411003030313303302310201
510402343003311241001
6115123121452225013
74451430522604542
oct503146763626441
986567385604340
1022210212212001
117093330858050
1225a85a316b169
13c5154c7c6368
1456ada11d24c9
15287b12b13586
hex143337cf2d21

22210212212001 has 48 divisors (see below), whose sum is σ = 35897992827840. Its totient is φ = 13118598000000.

The previous prime is 22210212211927. The next prime is 22210212212077. The reversal of 22210212212001 is 10021221201222.

It is a happy number.

22210212212001 is a `hidden beast` number, since 2 + 221 + 0 + 21 + 221 + 200 + 1 = 666.

It is not a de Polignac number, because 22210212212001 - 218 = 22210211949857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22210212211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16212375 + ... + 17528876.

It is an arithmetic number, because the mean of its divisors is an integer number (747874850580).

Almost surely, 222210212212001 is an apocalyptic number.

It is an amenable number.

22210212212001 is a deficient number, since it is larger than the sum of its proper divisors (13687780615839).

22210212212001 is a wasteful number, since it uses less digits than its factorization.

22210212212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741438 (or 33741435 counting only the distinct ones).

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

Adding to 22210212212001 its reverse (10021221201222), we get a palindrome (32231433413223).

The spelling of 22210212212001 in words is "twenty-two trillion, two hundred ten billion, two hundred twelve million, two hundred twelve thousand, one".

Divisors: 1 3 9 11 33 61 99 109 183 327 549 671 981 1199 2013 3597 6039 6649 10791 19947 59841 73139 219417 658251 33741251 101223753 303671259 371153761 1113461283 2058216311 3340383849 3677796359 6174648933 11033389077 18523946799 22640379421 33100167231 40455759949 67921138263 121367279847 203763414789 224345577899 364101839541 673036733697 2019110201091 2467801356889 7403404070667 22210212212001