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11211144345 = 325416076501
BaseRepresentation
bin10100111000011110…
…00111110010011001
31001221022202010211100
422130033013302121
5140430023104340
65052245422013
7544552104012
oct123417076231
931838663740
1011211144345
114833442755
12220a70a909
1310988b432b
14784d54009
1545939a830
hex29c3c7c99

11211144345 has 24 divisors (see below), whose sum is σ = 19906620552. Its totient is φ = 5833440000.

The previous prime is 11211144331. The next prime is 11211144361. The reversal of 11211144345 is 54344111211.

It is a happy number.

11211144345 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 443 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13483584 + 11197660761 = 3672^2 + 105819^2 .

It is not a de Polignac number, because 11211144345 - 26 = 11211144281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036406 + ... + 3040095.

It is an arithmetic number, because the mean of its divisors is an integer number (829442523).

Almost surely, 211211144345 is an apocalyptic number.

11211144345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11211144345 is a deficient number, since it is larger than the sum of its proper divisors (8695476207).

11211144345 is a wasteful number, since it uses less digits than its factorization.

11211144345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076553 (or 6076550 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 11211144345 its reverse (54344111211), we get a palindrome (65555255556).

The spelling of 11211144345 in words is "eleven billion, two hundred eleven million, one hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 6076501 18229503 30382505 54688509 91147515 249136541 273442545 747409623 1245682705 2242228869 3737048115 11211144345