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11213124000 = 253531371879
BaseRepresentation
bin10100111000101101…
…01011000110100000
31001221110110201101220
422130112223012200
5140431024432000
65052400055040
7544604660421
oct123426530640
931843421356
1011213124000
114834575031
12220b304480
131099128420
1478530b648
1545963c1a0
hex29c5ab1a0

11213124000 has 192 divisors, whose sum is σ = 39560451840. Its totient is φ = 2760115200.

The previous prime is 11213123951. The next prime is 11213124053. The reversal of 11213124000 is 42131211.

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

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, 120061 + ... + 191939.

It is an arithmetic number, because the mean of its divisors is an integer number (206044020).

Almost surely, 211213124000 is an apocalyptic number.

11213124000 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 11213124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780225920).

11213124000 is an abundant number, since it is smaller than the sum of its proper divisors (28347327840).

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

11213124000 is a wasteful number, since it uses less digits than its factorization.

11213124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71920 (or 71902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11213124000 its reverse (42131211), we get a palindrome (11255255211).

The spelling of 11213124000 in words is "eleven billion, two hundred thirteen million, one hundred twenty-four thousand".