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11211204040 = 2351373204137
BaseRepresentation
bin10100111000011110…
…10110010111001000
31001221022212011201021
422130033112113020
5140430032012130
65052251002224
7544552443031
oct123417262710
931838764637
1011211204040
114833483593
12220a739374
13109890555a
14784d6ba88
154593ad37a
hex29c3d65c8

11211204040 has 32 divisors (see below), whose sum is σ = 25243705080. Its totient is φ = 4481193472.

The previous prime is 11211204007. The next prime is 11211204061. The reversal of 11211204040 is 4040211211.

It is a happy number.

11211204040 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 4 ways, for example, as 11091038596 + 120165444 = 105314^2 + 10962^2 .

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 7 ways as a sum of consecutive naturals, for example, 47149 + ... + 156988.

Almost surely, 211211204040 is an apocalyptic number.

11211204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211204040 is an abundant number, since it is smaller than the sum of its proper divisors (14032501040).

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

11211204040 is a wasteful number, since it uses less digits than its factorization.

11211204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205521 (or 205517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11211204040 its reverse (4040211211), we get a palindrome (15251415251).

The spelling of 11211204040 in words is "eleven billion, two hundred eleven million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1373 2746 5492 6865 10984 13730 27460 54920 204137 408274 816548 1020685 1633096 2041370 4082740 8165480 280280101 560560202 1121120404 1401400505 2242240808 2802801010 5605602020 11211204040