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11011244200 = 2352116182051
BaseRepresentation
bin10100100000101001…
…00100000010101000
31001102101121011101021
422100110210002220
5140022334303300
65020345102224
7536604013525
oct122024440250
931371534337
1011011244200
114740618820
122173787974
131066363618
1476659a14c
15446a60d1a
hex2905240a8

11011244200 has 96 divisors (see below), whose sum is σ = 28386709920. Its totient is φ = 3938400000.

The previous prime is 11011244183. The next prime is 11011244203. The reversal of 11011244200 is 244211011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11011244203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93175 + ... + 175225.

It is an arithmetic number, because the mean of its divisors is an integer number (295694895).

Almost surely, 211011244200 is an apocalyptic number.

11011244200 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 11011244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193354960).

11011244200 is an abundant number, since it is smaller than the sum of its proper divisors (17375465720).

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

11011244200 is a wasteful number, since it uses less digits than its factorization.

11011244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82139 (or 82130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11011244200 its reverse (244211011), we get a palindrome (11255455211).

The spelling of 11011244200 in words is "eleven billion, eleven million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 1100 1220 1342 1525 2200 2440 2684 3050 3355 5368 6100 6710 12200 13420 16775 26840 33550 67100 82051 134200 164102 328204 410255 656408 820510 902561 1641020 1805122 2051275 3282040 3610244 4102550 4512805 5005111 7220488 8205100 9025610 10010222 16410200 18051220 20020444 22564025 25025555 36102440 40040888 45128050 50051110 55056221 90256100 100102220 110112442 125127775 180512200 200204440 220224884 250255550 275281105 440449768 500511100 550562210 1001022200 1101124420 1376405525 2202248840 2752811050 5505622100 11011244200