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22324141240203 = 3112157142179283
BaseRepresentation
bin1010001001101101111101…
…00000100010111110001011
32221001011111210020110012110
411010312332200202332023
510411224320124141303
6115251322514513403
74462603013426655
oct504667640427613
987034453213173
1022324141240203
117127684817200
122606699895863
13c5c207cc5a0a
145726cc1336d5
1528aa7eb12703
hex144dbe822f8b

22324141240203 has 48 divisors (see below), whose sum is σ = 32749591045248. Its totient is φ = 13516507804800.

The previous prime is 22324141240153. The next prime is 22324141240253. The reversal of 22324141240203 is 30204214142322.

It is an interprime number because it is at equal distance from previous prime (22324141240153) and next prime (22324141240253).

It is not a de Polignac number, because 22324141240203 - 213 = 22324141232011 is a prime.

It is a super-3 number, since 3×223241412402033 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22324141240253) 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, 2404836600 + ... + 2404845882.

It is an arithmetic number, because the mean of its divisors is an integer number (682283146776).

Almost surely, 222324141240203 is an apocalyptic number.

22324141240203 is a deficient number, since it is larger than the sum of its proper divisors (10425449805045).

22324141240203 is a wasteful number, since it uses less digits than its factorization.

22324141240203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15096 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22324141240203 its reverse (30204214142322), we get a palindrome (52528355382525).

The spelling of 22324141240203 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred forty-one million, two hundred forty thousand, two hundred three".

Divisors: 1 3 11 33 121 363 1571 4217 4713 9283 12651 17281 27849 46387 51843 102113 139161 190091 306339 510257 570273 1123243 1530771 3369729 6624907 14583593 19874721 39146411 43750779 72873977 117439233 160419523 218621931 430610521 481258569 801613747 1291831563 1764614753 2404841241 4736715731 5293844259 14210147193 61499011681 184497035043 676489128491 2029467385473 7441380413401 22324141240203