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1013222203301 = 721137293317547
BaseRepresentation
bin11101011111010001011…
…11111101111110100101
310120212022012022221120102
432233220233331332211
5113100034341001201
62053245020113445
7133126406424500
oct16575057757645
93525265287512
101013222203301
11360783578a40
12144452095885
13747146c9a89
143707c4d4137
151b55245b26b
hexebe8bfdfa5

1013222203301 has 96 divisors (see below), whose sum is σ = 1331664147072. Its totient is φ = 761753341440.

The previous prime is 1013222203243. The next prime is 1013222203321. The reversal of 1013222203301 is 1033022223101.

It is not a de Polignac number, because 1013222203301 - 210 = 1013222202277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013222203321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1852325510 + ... + 1852326056.

It is an arithmetic number, because the mean of its divisors is an integer number (13871501532).

Almost surely, 21013222203301 is an apocalyptic number.

1013222203301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013222203301 is a deficient number, since it is larger than the sum of its proper divisors (318441943771).

1013222203301 is a wasteful number, since it uses less digits than its factorization.

1013222203301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013222203301 its reverse (1033022223101), we get a palindrome (2046244426402).

The spelling of 1013222203301 in words is "one trillion, thirteen billion, two hundred twenty-two million, two hundred three thousand, three hundred one".

Divisors: 1 7 11 37 49 77 259 293 317 407 539 547 1813 2051 2219 2849 3223 3487 3829 6017 10841 11729 14357 15533 19943 20239 22561 24409 26803 42119 75887 82103 92881 119251 129019 141673 157927 160271 170863 173399 222629 294833 531209 574721 650167 834757 903133 991711 1021691 1121897 1213793 1558403 1762981 1907389 3436597 4551169 5843299 5930027 6321931 6415763 7151837 7853279 8496551 10908821 12340867 13351723 24056179 37802567 41510189 44910341 50062859 50805907 65230297 70573393 86386069 93462061 168393253 264617969 290571323 314372387 355641349 456612079 494013751 558864977 1852325783 1879818559 2489489443 3196284553 3458096257 3912054839 13158729913 20678004149 27384383873 92111109391 144746029043 1013222203301