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22203012011313 = 374783415965167
BaseRepresentation
bin1010000110001100010101…
…01001001101010100110001
32220121120212002020001212210
411003012022221031110301
510402233232033330223
6115115531203042333
74451054223114030
oct503061251152461
986546762201783
1022203012011313
1170902764a3771
1225a71139703a9
13c50972b95993
1456a8bac40717
15287840950893
hex14318aa4d531

22203012011313 has 64 divisors (see below), whose sum is σ = 34978261893120. Its totient is φ = 12264743760192.

The previous prime is 22203012011311. The next prime is 22203012011359. The reversal of 22203012011313 is 31311021030222.

It is not a de Polignac number, because 22203012011313 - 21 = 22203012011311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22203012011313.

It is not an unprimeable number, because it can be changed into a prime (22203012011311) 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 63 ways as a sum of consecutive naturals, for example, 340676856 + ... + 340742022.

It is an arithmetic number, because the mean of its divisors is an integer number (546535342080).

Almost surely, 222203012011313 is an apocalyptic number.

It is an amenable number.

22203012011313 is a deficient number, since it is larger than the sum of its proper divisors (12775249881807).

22203012011313 is a wasteful number, since it uses less digits than its factorization.

22203012011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69466.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 22203012011313 its reverse (31311021030222), we get a palindrome (53514033041535).

The spelling of 22203012011313 in words is "twenty-two trillion, two hundred three billion, twelve million, eleven thousand, three hundred thirteen".

Divisors: 1 3 7 21 47 83 141 249 329 581 987 1743 3901 4159 11703 12477 27307 29113 65167 81921 87339 195473 195501 345197 456169 586419 1035591 1368311 1368507 2416379 3062849 4104933 5408861 7249137 9188547 16224259 16226583 21439943 37862027 48672777 64319829 113569813 113586081 254216467 271029553 340709439 762649401 813088659 1779515269 1897206871 5338545807 5691620613 12738388991 22495452899 38215166973 67486358697 89168722937 157468170293 267506168811 472404510879 1057286286253 3171858858759 7401004003771 22203012011313