Search a number
-
+
11020111263144 = 2332153057100877
BaseRepresentation
bin1010000001011101000111…
…0100010011010110101000
31110000111211111112200220100
42200113101310103112220
52421023141440410034
635234322541425400
72215114426122504
oct240272164232650
943014744480810
1011020111263144
11356966a572645
12129b930b6b260
1361c265b86c69
142a153a541304
151419d20a2099
hexa05d1d135a8

11020111263144 has 24 divisors (see below), whose sum is σ = 29846134671210. Its totient is φ = 3673370421024.

The previous prime is 11020111263121. The next prime is 11020111263149. The reversal of 11020111263144 is 44136211102011.

It is a happy number.

11020111263144 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 11 + 12 + 631 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9789702322500 + 1230408940644 = 3128850^2 + 1109238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (11020111263149) 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 5 ways as a sum of consecutive naturals, for example, 76528550367 + ... + 76528550510.

Almost surely, 211020111263144 is an apocalyptic number.

It is an amenable number.

11020111263144 is an abundant number, since it is smaller than the sum of its proper divisors (18826023408066).

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

11020111263144 is a wasteful number, since it uses less digits than its factorization.

11020111263144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153057100889 (or 153057100882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11020111263144 its reverse (44136211102011), we get a palindrome (55156322365155).

The spelling of 11020111263144 in words is "eleven trillion, twenty billion, one hundred eleven million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 153057100877 306114201754 459171302631 612228403508 918342605262 1224456807016 1377513907893 1836685210524 2755027815786 3673370421048 5510055631572 11020111263144