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1022013836809 = 72139210392
BaseRepresentation
bin11101101111101001100…
…01011000111000001001
310121200222220100012111021
432313310301120320021
5113221041020234214
62101301235232441
7133560312164200
oct16676461307011
93550886305437
101022013836809
11364485192359
121460a6448721
13754b5c53894
1437673d8a237
151b8b91c9924
hexedf4c58e09

1022013836809 has 27 divisors (see below), whose sum is σ = 1198641464397. Its totient is φ = 868872552408.

The previous prime is 1022013836801. The next prime is 1022013836819. The reversal of 1022013836809 is 9086383102201.

The square root of 1022013836809 is 1010947.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1022013836809 - 23 = 1022013836801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022013836801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 983650912 + ... + 983651950.

It is an arithmetic number, because the mean of its divisors is an integer number (44394128311).

Almost surely, 21022013836809 is an apocalyptic number.

1022013836809 is the 1010947-th square number.

1022013836809 is the 505474-th centered octagonal number.

It is an amenable number.

1022013836809 is a deficient number, since it is larger than the sum of its proper divisors (176627627588).

1022013836809 is an frugal number, since it uses more digits than its factorization.

1022013836809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1022013836809 in words is "one trillion, twenty-two billion, thirteen million, eight hundred thirty-six thousand, eight hundred nine".

Divisors: 1 7 49 139 973 1039 6811 7273 19321 50911 135247 144421 946729 1010947 1079521 7076629 7556647 20074519 52896529 140521633 150053419 983651431 1050373933 7352617531 20857425241 146001976687 1022013836809