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11240412000 = 253538571093
BaseRepresentation
bin10100111011111101…
…10001001101100000
31002000100211002111120
422131332301031200
5141010021141000
65055213012240
7545355632316
oct123576611540
932010732446
1011240412000
114848a129a4
122218484080
1310a1990b7c
14788bb20b6
1545bc2c6a0
hex29dfb1360

11240412000 has 192 divisors, whose sum is σ = 36900287424. Its totient is φ = 2991206400.

The previous prime is 11240411971. The next prime is 11240412037. The reversal of 11240412000 is 21404211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10283454 + ... + 10284546.

It is an arithmetic number, because the mean of its divisors is an integer number (192188997).

Almost surely, 211240412000 is an apocalyptic number.

11240412000 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 11240412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18450143712).

11240412000 is an abundant number, since it is smaller than the sum of its proper divisors (25659875424).

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

11240412000 is a wasteful number, since it uses less digits than its factorization.

11240412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11240412000 its reverse (21404211), we get a palindrome (11261816211).

The spelling of 11240412000 in words is "eleven billion, two hundred forty million, four hundred twelve thousand".