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22113321303231 = 328579912893057
BaseRepresentation
bin1010000011100101010001…
…01010010011110010111111
32220022000100101100000111200
411001302220222103302333
510344301040223200411
6115010415231550543
74441430500510134
oct501625052236277
986260311300450
1022113321303231
117056230423234
12259186268b453
13c4537b175992
1456640d05458b
1528534181ae56
hex141ca8a93cbf

22113321303231 has 24 divisors (see below), whose sum is σ = 32011015580544. Its totient is φ = 14710148259840.

The previous prime is 22113321303197. The next prime is 22113321303247. The reversal of 22113321303231 is 13230312331122.

22113321303231 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 321 + 303 + 2 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22113321303231 is a prime.

It is a super-2 number, since 2×221133213032312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22113321303195 and 22113321303204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113321313231) 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 23 ways as a sum of consecutive naturals, for example, 6197055 + ... + 9090111.

It is an arithmetic number, because the mean of its divisors is an integer number (1333792315856).

Almost surely, 222113321303231 is an apocalyptic number.

22113321303231 is a deficient number, since it is larger than the sum of its proper divisors (9897694277313).

22113321303231 is a wasteful number, since it uses less digits than its factorization.

22113321303231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894911 (or 2894908 counting only the distinct ones).

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

Adding to 22113321303231 its reverse (13230312331122), we get a palindrome (35343633634353).

The spelling of 22113321303231 in words is "twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 857 991 2571 2973 7713 8919 849287 2547861 2893057 7643583 8679171 26037513 2479349849 2867019487 7438049547 8601058461 22314148641 25803175383 2457035700359 7371107101077 22113321303231