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11244534210 = 23457213193137
BaseRepresentation
bin10100111100011100…
…11111100111000010
31002000122120112010000
422132032133213002
5141012100043320
65055441220430
7545435651400
oct123616374702
932018515100
1011244534210
114850278a88
122219931716
1310a27a5250
14789566470
1545c293c90
hex29e39f9c2

11244534210 has 960 divisors, whose sum is σ = 42269230080. Its totient is φ = 2116316160.

The previous prime is 11244534139. The next prime is 11244534227. The reversal of 11244534210 is 1243544211.

11244534210 is a `hidden beast` number, since 1 + 1 + 2 + 445 + 3 + 4 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 303906312 + ... + 303906348.

It is an arithmetic number, because the mean of its divisors is an integer number (44030448).

Almost surely, 211244534210 is an apocalyptic number.

11244534210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11244534210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134615040).

11244534210 is an abundant number, since it is smaller than the sum of its proper divisors (31024695870).

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

11244534210 is a wasteful number, since it uses less digits than its factorization.

11244534210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

11244534210 divided by its sum of digits (27) gives a triangular number (416464230 = T28860).

The spelling of 11244534210 in words is "eleven billion, two hundred forty-four million, five hundred thirty-four thousand, two hundred ten".