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10424221222203 = 351722335917977
BaseRepresentation
bin1001011110110001010000…
…0000001100010100111011
31100220112201220022012100000
42113230110000030110323
52331242301113102303
634100453210044043
72124060630262425
oct227542400142473
940815656265300
1010424221222203
113359984137128
12120434a719623
135a7ccc86a9b9
1428076c075815
15131257e79da3
hex97b1400c53b

10424221222203 has 144 divisors (see below), whose sum is σ = 17357807900160. Its totient is φ = 6238535998464.

The previous prime is 10424221222133. The next prime is 10424221222213. The reversal of 10424221222203 is 30222212242401.

10424221222203 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 422 + 12 + 2 + 220 + 3 = 666.

It is not a de Polignac number, because 10424221222203 - 29 = 10424221221691 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 (10424221222213) 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 143 ways as a sum of consecutive naturals, for example, 579855351 + ... + 579873327.

It is an arithmetic number, because the mean of its divisors is an integer number (120540332640).

Almost surely, 210424221222203 is an apocalyptic number.

10424221222203 is a deficient number, since it is larger than the sum of its proper divisors (6933586677957).

10424221222203 is a wasteful number, since it uses less digits than its factorization.

10424221222203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18408 (or 18379 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10424221222203 its reverse (30222212242401), we get a palindrome (40646433464604).

The spelling of 10424221222203 in words is "ten trillion, four hundred twenty-four billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred three".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 243 289 359 391 459 621 867 1077 1173 1377 1863 2601 3231 3519 4131 5589 6103 6647 7803 8257 9693 10557 17977 18309 19941 23409 24771 29079 31671 53931 54927 59823 70227 74313 87237 95013 103751 140369 161793 164781 179469 222939 305609 311253 413471 421107 485379 494343 538407 668817 916827 933759 1240413 1263321 1456137 1483029 1615221 2006451 2386273 2750481 2801277 3721239 3789963 4368411 5195353 6453743 7029007 7158819 8251443 8403831 11163717 11369889 15586059 19361229 21087021 21476457 24754329 25211493 33491151 34109667 46758177 58083687 63261063 64429371 74262987 100473453 109713631 119493119 140274531 148436089 174251061 189783189 193288113 329140893 358479357 420823593 445308267 522753183 569349567 579864339 987422679 1075438071 1262470779 1335924801 1568259549 1708048701 1865131727 2523413513 2962268037 3226314213 4007774403 5595395181 7570240539 8886804111 9678942639 12023323209 16786185543 22710721617 26660412333 29036827917 36069969627 42898029721 50358556629 68132164851 128694089163 151075669887 204396494553 386082267489 453227009661 613189483659 1158246802467 3474740407401 10424221222203