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11211214040 = 2351321560027
BaseRepresentation
bin10100111000011110…
…11000110011011000
31001221022212200102122
422130033120303120
5140430032322130
65052251120412
7544552514135
oct123417306330
931838780378
1011211214040
114833490054
12220a743108
131098909c80
14784d7158c
154593b12e5
hex29c3d8cd8

11211214040 has 32 divisors (see below), whose sum is σ = 27165635280. Its totient is φ = 4139524992.

The previous prime is 11211214039. The next prime is 11211214061. The reversal of 11211214040 is 4041211211.

11211214040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 10779494 + ... + 10780533.

Almost surely, 211211214040 is an apocalyptic number.

11211214040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211214040 is an abundant number, since it is smaller than the sum of its proper divisors (15954421240).

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

11211214040 is a wasteful number, since it uses less digits than its factorization.

11211214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21560051 (or 21560047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11211214040 its reverse (4041211211), we get a palindrome (15252425251).

The spelling of 11211214040 in words is "eleven billion, two hundred eleven million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 21560027 43120054 86240108 107800135 172480216 215600270 280280351 431200540 560560702 862401080 1121121404 1401401755 2242242808 2802803510 5605607020 11211214040