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211321103133231 = 33713237715924977
BaseRepresentation
bin110000000011001000000111…
…010010010010101000101111
31000201020002201000111000012000
4300003020013102102220233
5210144241104400230411
62025235324035343343
762340305635223340
oct6003100722225057
91021202630430160
10211321103133231
116137385a652933
121b84b541a51b53
1390bb6575c6300
143a27dd2cda0c7
151966e30927956
hexc03207492a2f

211321103133231 has 192 divisors, whose sum is σ = 397974593894400. Its totient is φ = 108433988941824.

The previous prime is 211321103133209. The next prime is 211321103133269. The reversal of 211321103133231 is 132331301123112.

211321103133231 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 110 + 313 + 3 + 231 = 666.

It is not a de Polignac number, because 211321103133231 - 29 = 211321103132719 is a prime.

It is a super-2 number, since 2×2113211031332312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211321103133195 and 211321103133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211321103133631) 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 191 ways as a sum of consecutive naturals, for example, 8460615415 + ... + 8460640391.

It is an arithmetic number, because the mean of its divisors is an integer number (2072784343200).

Almost surely, 2211321103133231 is an apocalyptic number.

211321103133231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211321103133231 is a deficient number, since it is larger than the sum of its proper divisors (186653490761169).

211321103133231 is a wasteful number, since it uses less digits than its factorization.

211321103133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32215 (or 32196 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 211321103133231 its reverse (132331301123112), we get a palindrome (343652404256343).

The spelling of 211321103133231 in words is "two hundred eleven trillion, three hundred twenty-one billion, one hundred three million, one hundred thirty-three thousand, two hundred thirty-one".