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22401311033331 = 3212735355520389
BaseRepresentation
bin1010001011111101101100…
…01011111100011111110011
32221022112200212211010020200
411011332312023330133303
510414010341111031311
6115351004211210243
74501304241023406
oct505766613743763
987275625733220
1022401311033331
117157385093a3a
1226196358a6983
13c665859853b9
1457632d063d3d
1528ca998cb556
hex145fb62fc7f3

22401311033331 has 24 divisors (see below), whose sum is σ = 32704618851840. Its totient is φ = 14774641491456.

The previous prime is 22401311033281. The next prime is 22401311033383. The reversal of 22401311033331 is 13333011310422.

22401311033331 is a `hidden beast` number, since 224 + 0 + 1 + 3 + 1 + 103 + 3 + 331 = 666.

It is not a de Polignac number, because 22401311033331 - 213 = 22401311025139 is a prime.

It is a super-2 number, since 2×224013110333312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22401311033295 and 22401311033304.

It is not an unprimeable number, because it can be changed into a prime (22401311035331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27356716 + ... + 28163673.

It is an arithmetic number, because the mean of its divisors is an integer number (1362692452160).

Almost surely, 222401311033331 is an apocalyptic number.

22401311033331 is a deficient number, since it is larger than the sum of its proper divisors (10303307818509).

22401311033331 is a wasteful number, since it uses less digits than its factorization.

22401311033331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55520875 (or 55520872 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22401311033331 its reverse (13333011310422), we get a palindrome (35734322343753).

The spelling of 22401311033331 in words is "twenty-two trillion, four hundred one billion, three hundred eleven million, thirty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 127 353 381 1059 1143 3177 44831 134493 403479 55520389 166561167 499683501 7051089403 19598697317 21153268209 58796091951 63459804627 176388275853 2489034559259 7467103677777 22401311033331