Search a number
-
+
1002211001012 = 221376481252001
BaseRepresentation
bin11101001010110000110…
…11100100001010110100
310112210212210210220200102
432211120123210022310
5112410012004013022
62044224231533232
7132256502644064
oct16453033441264
93483783726612
101002211001012
11357042a89761
1214229a52a218
137367b37c570
1436715d493a4
151b10a907a92
hexe9586e42b4

1002211001012 has 24 divisors (see below), whose sum is σ = 1888814462472. Its totient is φ = 462551040000.

The previous prime is 1002211001009. The next prime is 1002211001017. The reversal of 1002211001012 is 2101001122001.

It can be written as a sum of positive squares in 4 ways, for example, as 36323023396 + 965887977616 = 190586^2 + 982796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002211000984 and 1002211001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002211001017) 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 7 ways as a sum of consecutive naturals, for example, 3851012 + ... + 4103012.

It is an arithmetic number, because the mean of its divisors is an integer number (78700602603).

Almost surely, 21002211001012 is an apocalyptic number.

It is an amenable number.

1002211001012 is a deficient number, since it is larger than the sum of its proper divisors (886603461460).

1002211001012 is a wasteful number, since it uses less digits than its factorization.

1002211001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328499 (or 328497 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1002211001012 its reverse (2101001122001), we get a palindrome (3103212123013).

The spelling of 1002211001012 in words is "one trillion, two billion, two hundred eleven million, one thousand, twelve".

Divisors: 1 2 4 13 26 52 76481 152962 252001 305924 504002 994253 1008004 1988506 3276013 3977012 6552026 13104052 19273288481 38546576962 77093153924 250552750253 501105500506 1002211001012