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1022245244405 = 57311222721701
BaseRepresentation
bin11101110000000101001…
…00001000110111110101
310121201121000202221000222
432320002210020313311
5113222024240310110
62101340223144125
7133566122132000
oct16700244106765
93551530687028
101022245244405
11364593877300
1214614ba45045
1375521b86758
14376969c6537
151b8ce689c55
hexee02908df5

1022245244405 has 96 divisors (see below), whose sum is σ = 1579419475200. Its totient is φ = 634407312000.

The previous prime is 1022245244401. The next prime is 1022245244437. The reversal of 1022245244405 is 5044425422201.

It is not a de Polignac number, because 1022245244405 - 22 = 1022245244401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022245244401) 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 95 ways as a sum of consecutive naturals, for example, 47095055 + ... + 47116755.

It is an arithmetic number, because the mean of its divisors is an integer number (16452286200).

Almost surely, 21022245244405 is an apocalyptic number.

It is an amenable number.

1022245244405 is a deficient number, since it is larger than the sum of its proper divisors (557174230795).

1022245244405 is a wasteful number, since it uses less digits than its factorization.

1022245244405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21976 (or 21951 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

The spelling of 1022245244405 in words is "one trillion, twenty-two billion, two hundred forty-five million, two hundred forty-four thousand, four hundred five".

Divisors: 1 5 7 11 35 49 55 77 121 227 245 343 385 539 605 847 1135 1589 1715 2497 2695 3773 4235 5929 7945 11123 12485 17479 18865 21701 27467 29645 41503 55615 77861 87395 108505 122353 137335 151907 192269 207515 238711 389305 611765 759535 856471 961345 1063349 1193555 1345883 1670977 2625821 4282355 4926127 5316745 6729415 7443443 8354885 9421181 11696839 13129105 18380747 24630635 34482889 37217215 47105905 54187397 58484195 81877873 91903735 128665229 172414445 241380223 270936985 379311779 409389365 596061367 643326145 900656603 1206901115 1689661561 1896558895 2655182453 2980306835 4172429569 4503283015 8448307805 13275912265 18586277171 20862147845 29207006983 92931385855 146035034915 204449048881 1022245244405