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11001210320 = 245294741901
BaseRepresentation
bin10100011111011100…
…10010010111010000
31001101200201101111002
422033232102113100
5140012302212240
65015350041132
7536422513322
oct121756222720
931350641432
1011001210320
114735995161
1221703491a8
13106425c509
14765107612
15445c2cd15
hex28fb925d0

11001210320 has 40 divisors (see below), whose sum is σ = 26459813160. Its totient is φ = 4248742400.

The previous prime is 11001210313. The next prime is 11001210331. The reversal of 11001210320 is 2301210011.

11001210320 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 4233844624 + 6767365696 = 65068^2 + 82264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 2368631 + ... + 2373270.

It is an arithmetic number, because the mean of its divisors is an integer number (661495329).

Almost surely, 211001210320 is an apocalyptic number.

11001210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001210320 is an abundant number, since it is smaller than the sum of its proper divisors (15458602840).

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

11001210320 is a wasteful number, since it uses less digits than its factorization.

11001210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741943 (or 4741937 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11001210320 its reverse (2301210011), we get a palindrome (13302420331).

The spelling of 11001210320 in words is "eleven billion, one million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4741901 9483802 18967604 23709505 37935208 47419010 75870416 94838020 137515129 189676040 275030258 379352080 550060516 687575645 1100121032 1375151290 2200242064 2750302580 5500605160 11001210320