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11245534300 = 225272112131459
BaseRepresentation
bin10100111100100100…
…10011110001011100
31002000201110022222101
422132102103301130
5141012324044200
65055514454444
7545450315200
oct123622236134
932021408871
1011245534300
1148508a1400
12221a134424
1310a2a65510
14789746b00
1545c3e026a
hex29e493c5c

11245534300 has 324 divisors, whose sum is σ = 33625373880. Its totient is φ = 3233260800.

The previous prime is 11245534291. The next prime is 11245534303. The reversal of 11245534300 is 343554211.

11245534300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11245534303) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 7706971 + ... + 7708429.

Almost surely, 211245534300 is an apocalyptic number.

11245534300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11245534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812686940).

11245534300 is an abundant number, since it is smaller than the sum of its proper divisors (22379839580).

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

11245534300 is a wasteful number, since it uses less digits than its factorization.

11245534300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

It can be divided in two parts, 11245 and 534300, that added together give a palindrome (545545).

The spelling of 11245534300 in words is "eleven billion, two hundred forty-five million, five hundred thirty-four thousand, three hundred".