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22201414313013 = 3213189755677889
BaseRepresentation
bin1010000110001001010110…
…11010011110010000110101
32220121102201201212120211200
411003010223122132100311
510402221444031004023
6115115104450523113
74450666512651345
oct503045332362065
986542651776750
1022201414313013
11708a626654351
1225a6948896499
13c50779b87780
1456a7a8988d25
1528779a558743
hex14312b69e435

22201414313013 has 12 divisors (see below), whose sum is σ = 34535533375980. Its totient is φ = 13662408807936.

The previous prime is 22201414312999. The next prime is 22201414313027. The reversal of 22201414313013 is 31031341410222.

22201414313013 is a `hidden beast` number, since 2 + 2 + 201 + 414 + 3 + 1 + 30 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (22201414312999) and next prime (22201414313027).

It can be written as a sum of positive squares in 2 ways, for example, as 11014917990129 + 11186496322884 = 3318873^2 + 3344622^2 .

It is not a de Polignac number, because 22201414313013 - 26 = 22201414312949 is a prime.

It is a super-2 number, since 2×222014143130132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201414313063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94877838828 + ... + 94877839061.

It is an arithmetic number, because the mean of its divisors is an integer number (2877961114665).

Almost surely, 222201414313013 is an apocalyptic number.

It is an amenable number.

22201414313013 is a deficient number, since it is larger than the sum of its proper divisors (12334119062967).

22201414313013 is a wasteful number, since it uses less digits than its factorization.

22201414313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189755677908 (or 189755677905 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22201414313013 its reverse (31031341410222), we get a palindrome (53232755723235).

The spelling of 22201414313013 in words is "twenty-two trillion, two hundred one billion, four hundred fourteen million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 13 39 117 189755677889 569267033667 1707801101001 2466823812557 7400471437671 22201414313013