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11153342200 = 23527111355711
BaseRepresentation
bin10100110001100101…
…00111111011111000
31001210021222111012011
422120302213323320
5140320223422300
65042422455304
7543250562440
oct123062477370
931707874164
1011153342200
114803853090
1221b3294534
131089926890
1477b3c9120
1545427deba
hex298ca7ef8

11153342200 has 192 divisors, whose sum is σ = 34817771520. Its totient is φ = 3208896000.

The previous prime is 11153342177. The next prime is 11153342237. The reversal of 11153342200 is 224335111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172345 + ... + 228055.

It is an arithmetic number, because the mean of its divisors is an integer number (181342560).

Almost surely, 211153342200 is an apocalyptic number.

11153342200 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 11153342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17408885760).

11153342200 is an abundant number, since it is smaller than the sum of its proper divisors (23664429320).

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

11153342200 is a wasteful number, since it uses less digits than its factorization.

11153342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55758 (or 55749 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 11153342200 its reverse (224335111), we get a palindrome (11377677311).

It can be divided in two parts, 11153 and 342200, that added together give a palindrome (353353).

The spelling of 11153342200 in words is "eleven billion, one hundred fifty-three million, three hundred forty-two thousand, two hundred".