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11024211900 = 223521347137439
BaseRepresentation
bin10100100010001100…
…00001111110111100
31001110021222222201110
422101012001332330
5140034144240100
65021531042020
7540122153322
oct122106017674
931407888643
1011024211900
114747975629
122177ba0310
131068c53c10
147681b3d12
15447c73250
hex291181fbc

11024211900 has 288 divisors, whose sum is σ = 35417733120. Its totient is φ = 2630522880.

The previous prime is 11024211899. The next prime is 11024211907. The reversal of 11024211900 is 911242011.

It is a happy number.

It is a super-2 number, since 2×110242119002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024211907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25111881 + ... + 25112319.

It is an arithmetic number, because the mean of its divisors is an integer number (122978240).

Almost surely, 211024211900 is an apocalyptic number.

11024211900 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 11024211900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17708866560).

11024211900 is an abundant number, since it is smaller than the sum of its proper divisors (24393521220).

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

11024211900 is a wasteful number, since it uses less digits than its factorization.

11024211900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 11024211900 its reverse (911242011), we get a palindrome (11935453911).

The spelling of 11024211900 in words is "eleven billion, twenty-four million, two hundred eleven thousand, nine hundred".