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1022201102013 = 3713175910393593
BaseRepresentation
bin11101101111111111110…
…11101111111010111101
310121201110221201021001120
432313333323233322331
5113221431440231023
62101332005101153
7133565045001660
oct16677773577275
93551427637046
101022201102013
11364570967493
121461390b77b9
137551599c5b0
1437690bb56d7
151b8ca86a8e3
hexedffeefebd

1022201102013 has 128 divisors (see below), whose sum is σ = 1808477798400. Its totient is φ = 498246377472.

The previous prime is 1022201102011. The next prime is 1022201102033. The reversal of 1022201102013 is 3102011022201.

It is not a de Polignac number, because 1022201102013 - 21 = 1022201102011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022201101983 and 1022201102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022201102011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 284496145 + ... + 284499737.

It is an arithmetic number, because the mean of its divisors is an integer number (14128732800).

Almost surely, 21022201102013 is an apocalyptic number.

1022201102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022201102013 is a deficient number, since it is larger than the sum of its proper divisors (786276696387).

1022201102013 is a wasteful number, since it uses less digits than its factorization.

1022201102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1022201102013 its reverse (3102011022201), we get a palindrome (4124212124214).

The spelling of 1022201102013 in words is "one trillion, twenty-two billion, two hundred one million, one hundred two thousand, thirteen".

Divisors: 1 3 7 13 17 21 39 51 59 91 119 177 221 273 357 413 663 767 1003 1039 1239 1547 2301 3009 3117 3593 4641 5369 7021 7273 10779 13039 13507 16107 17663 21063 21819 25151 39117 40521 46709 52989 61081 61301 75453 91273 94549 123641 140127 183243 183903 211987 229619 273819 283647 326963 370923 427567 429107 635961 688857 794053 796913 980889 1042117 1282701 1287321 1483909 1607333 2382159 2390739 2755831 3126351 3603779 3733127 4451727 4821999 5558371 5578391 7294819 8267493 10811337 11199381 13547521 16675113 16735173 19290817 21884457 25226453 26131889 40642563 46849127 48530651 57872451 63463159 75679359 78395667 94832647 140547381 145591953 190389477 220254493 284497941 327943889 339714557 444242113 660763479 825021067 983831667 1019143671 1332726339 1541781451 2475063201 2863308409 3744326381 4625344353 5775147469 8589925227 11232979143 17325442407 20043158863 26210284667 48676242953 60129476589 78630854001 146028728859 340733700671 1022201102013