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22004014017051 = 3311716739291669
BaseRepresentation
bin1010000000011001101010…
…11100000110101000011011
32212220120012120101112212000
411000030311130012220123
510341003210042021201
6114444300545252043
74430510660063403
oct500146534065033
985816176345760
1022004014017051
1170139392a6290
122574637934023
13c37c7b336911
14560dddc6d803
15282595456d86
hex140335706a1b

22004014017051 has 128 divisors (see below), whose sum is σ = 36177041664000. Its totient is φ = 13106412748800.

The previous prime is 22004014017023. The next prime is 22004014017059. The reversal of 22004014017051 is 15071041040022.

22004014017051 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 401 + 40 + 170 + 51 = 666.

It is not a de Polignac number, because 22004014017051 - 29 = 22004014016539 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22004014017059) 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 127 ways as a sum of consecutive naturals, for example, 13183950045 + ... + 13183951713.

It is an arithmetic number, because the mean of its divisors is an integer number (282633138000).

Almost surely, 222004014017051 is an apocalyptic number.

22004014017051 is a deficient number, since it is larger than the sum of its proper divisors (14173027646949).

22004014017051 is a wasteful number, since it uses less digits than its factorization.

22004014017051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 22004014017051 its reverse (15071041040022), we get a palindrome (37075055057073).

The spelling of 22004014017051 in words is "twenty-two trillion, four billion, fourteen million, seventeen thousand, fifty-one".

Divisors: 1 3 9 11 27 33 71 99 213 297 639 673 781 929 1669 1917 2019 2343 2787 5007 6057 7029 7403 8361 10219 15021 18171 18359 21087 22209 25083 30657 45063 47783 55077 65959 66627 91971 118499 143349 165231 197877 199881 275913 355497 430047 495693 525613 593631 625217 725549 1066491 1123237 1290141 1303489 1550501 1576839 1780893 1875651 2176647 3199473 3369711 3910467 4651503 4730517 5626953 6529941 6877387 10109133 11731401 12355607 13954509 14191551 16880859 17055511 19589823 20632161 30327399 35194203 37066821 41863527 44390407 51166533 61896483 79749827 110085571 111200463 133171221 153499599 185689449 239249481 330256713 333601389 399513663 460498797 488294477 717748443 877248097 990770139 1043487173 1198540989 1210941281 1464883431 2153245329 2631744291 2972310417 3130461519 3632823843 4394650293 7895232873 9391384557 10898471529 11478358903 13183950879 23685698619 28174153671 32695414587 34435076709 74087589283 103305230127 222262767849 309915690381 666788303547 814963482113 2000364910641 2444890446339 7334671339017 22004014017051