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1131264045153 = 33115983777817
BaseRepresentation
bin10000011101100100100…
…101110111000001100001
311000010222201212211002000
4100131210211313001201
5122013312043421103
62223410122314213
7144505530504144
oct20354445670141
94003881784060
101131264045153
113a6848074940
121632b6058969
13828a6cc9a88
143ca7975405b
151e660566aa3
hex10764977061

1131264045153 has 64 divisors (see below), whose sum is σ = 1881697305600. Its totient is φ = 665872721280.

The previous prime is 1131264045073. The next prime is 1131264045173. The reversal of 1131264045153 is 3515404621311.

1131264045153 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 640 + 4 + 5 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 1131264045153 - 29 = 1131264044641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1131264045173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065501 + ... + 1843317.

It is an arithmetic number, because the mean of its divisors is an integer number (29401520400).

Almost surely, 21131264045153 is an apocalyptic number.

It is an amenable number.

1131264045153 is a deficient number, since it is larger than the sum of its proper divisors (750433260447).

1131264045153 is a wasteful number, since it uses less digits than its factorization.

1131264045153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777979 (or 777973 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1131264045153 its reverse (3515404621311), we get a palindrome (4646668666464).

The spelling of 1131264045153 in words is "one trillion, one hundred thirty-one billion, two hundred sixty-four million, forty-five thousand, one hundred fifty-three".

Divisors: 1 3 9 11 27 33 59 83 99 177 249 297 531 649 747 913 1593 1947 2241 2739 4897 5841 8217 14691 17523 24651 44073 53867 132219 161601 484803 777817 1454409 2333451 7000353 8555987 21001059 25667961 45891203 64558811 77003883 137673609 193676433 231011649 413020827 504803233 581029299 710146921 1239062481 1514409699 1743087897 2130440763 3808969849 4543229097 6391322289 11426909547 13629687291 19173966867 34280728641 41898668339 102842185923 125696005017 377088015051 1131264045153