Search a number
-
+
1011002221012 = 22725397324049
BaseRepresentation
bin11101011011001000110…
…11011010000111010100
310120122120111001011101011
432231210123122013110
5113031013032033022
62052240434142004
7133020402042100
oct16554433320724
93518514034334
101011002221012
1135a844440433
12143b32721904
137444c7c00a4
1436d0b734900
151b4725e3977
hexeb646da1d4

1011002221012 has 36 divisors (see below), whose sum is σ = 2096943981300. Its totient is φ = 425111441664.

The previous prime is 1011002221003. The next prime is 1011002221043. The reversal of 1011002221012 is 2101222001101.

It can be written as a sum of positive squares in 2 ways, for example, as 453957927696 + 557044293316 = 673764^2 + 746354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1011002220983 and 1011002221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48651637 + ... + 48672412.

It is an arithmetic number, because the mean of its divisors is an integer number (58248443925).

Almost surely, 21011002221012 is an apocalyptic number.

It is an amenable number.

1011002221012 is an abundant number, since it is smaller than the sum of its proper divisors (1085941760288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011002221012 is a wasteful number, since it uses less digits than its factorization.

1011002221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97324120 (or 97324111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1011002221012 its reverse (2101222001101), we get a palindrome (3112224222113).

The spelling of 1011002221012 in words is "one trillion, eleven billion, two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 97324049 194648098 389296196 681268343 1362536686 2725073372 4768878401 5158174597 9537756802 10316349194 19075513604 20632698388 36107222179 72214444358 144428888716 252750555253 505501110506 1011002221012