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11344212000 = 253553111061
BaseRepresentation
bin10101001000010101…
…01111000000100000
31002021121010200100000
422210022233000200
5141213104241000
65113401500000
7551056132242
oct124412570040
932247120300
1011344212000
1148a156a420
1222471a1600
1310ba3351a4
147988b2092
15465dd3000
hex2a42af020

11344212000 has 576 divisors, whose sum is σ = 45590283648. Its totient is φ = 2747520000.

The previous prime is 11344211987. The next prime is 11344212017. The reversal of 11344212000 is 21244311.

11344212000 is a `hidden beast` number, since 11 + 34 + 421 + 200 + 0 = 666.

It is a super-2 number, since 2×113442120002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10691470 + ... + 10692530.

It is an arithmetic number, because the mean of its divisors is an integer number (79149798).

Almost surely, 211344212000 is an apocalyptic number.

11344212000 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 11344212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22795141824).

11344212000 is an abundant number, since it is smaller than the sum of its proper divisors (34246071648).

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

11344212000 is a wasteful number, since it uses less digits than its factorization.

11344212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11344212000 its reverse (21244311), we get a palindrome (11365456311).

The spelling of 11344212000 in words is "eleven billion, three hundred forty-four million, two hundred twelve thousand".