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11202132996 = 2232417589521
BaseRepresentation
bin10100110111011001…
…01111110000000100
31001220200210022120200
422123230233300010
5140420221223441
65051324330500
7544412362605
oct123354576004
931820708520
1011202132996
11482934835a
1222076a3a30
131096a7a782
14783a89dac
154586ba7b6
hex29bb2fc04

11202132996 has 36 divisors (see below), whose sum is σ = 29007153084. Its totient is φ = 3642969600.

The previous prime is 11202132923. The next prime is 11202133009. The reversal of 11202132996 is 69923120211.

11202132996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3444046596 + 7758086400 = 58686^2 + 88080^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11202132996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3793285 + ... + 3796236.

Almost surely, 211202132996 is an apocalyptic number.

It is an amenable number.

11202132996 is an abundant number, since it is smaller than the sum of its proper divisors (17805020088).

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

11202132996 is a wasteful number, since it uses less digits than its factorization.

11202132996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589572 (or 7589567 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11202132996 in words is "eleven billion, two hundred two million, one hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 7589521 15179042 22768563 30358084 45537126 68305689 91074252 136611378 273222756 311170361 622340722 933511083 1244681444 1867022166 2800533249 3734044332 5601066498 11202132996