Search a number
-
+
1002002221011 = 311223491244429
BaseRepresentation
bin11101001010010111111…
…11001000011111010011
310112210100020221210100210
432211023333020133103
5112404100032033021
62044151413015203
7132251356231041
oct16451377103723
93483306853323
101002002221011
11356a4614a200
12142240624503
137364703cabc
14366d631d391
151b0e7416e76
hexe94bfc87d3

1002002221011 has 48 divisors (see below), whose sum is σ = 1535474062080. Its totient is φ = 579685444800.

The previous prime is 1002002220997. The next prime is 1002002221049. The reversal of 1002002221011 is 1101222002001.

It is not a de Polignac number, because 1002002221011 - 229 = 1001465350099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002002221511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3977145 + ... + 4221573.

It is an arithmetic number, because the mean of its divisors is an integer number (31989042960).

Almost surely, 21002002221011 is an apocalyptic number.

1002002221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002002221011 is a deficient number, since it is larger than the sum of its proper divisors (533471841069).

1002002221011 is a wasteful number, since it uses less digits than its factorization.

1002002221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244968 (or 244957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002002221011 its reverse (1101222002001), we get a palindrome (2103224223012).

The spelling of 1002002221011 in words is "one trillion, two billion, two million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 11 23 33 69 121 253 363 491 759 1473 2783 5401 8349 11293 16203 33879 59411 124223 178233 244429 372669 733287 1366453 2688719 4099359 5621867 8066157 16865601 29575909 61840537 88727727 120014639 185521611 360043917 680245907 1320161029 2040737721 2760336697 3960483087 8281010091 14521771319 30363703667 43565313957 91091111001 334000740337 1002002221011