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11222110000 = 245441101271
BaseRepresentation
bin10100111001110001…
…11100111100110000
31001222002101020212201
422130320330330300
5140440330010000
65053320432544
7545044234603
oct123470747460
931862336781
1011222110000
114839652382
122212318754
13109ac5359a
147865aa33a
1545a31496a
hex29ce3cf30

11222110000 has 200 divisors, whose sum is σ = 28211819328. Its totient is φ = 4320000000.

The previous prime is 11222109991. The next prime is 11222110001. The reversal of 11222110000 is 1122211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11222110001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41409865 + ... + 41410135.

Almost surely, 211222110000 is an apocalyptic number.

11222110000 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 11222110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105909664).

11222110000 is an abundant number, since it is smaller than the sum of its proper divisors (16989709328).

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

11222110000 is a wasteful number, since it uses less digits than its factorization.

11222110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11222110000 its reverse (1122211), we get a palindrome (11223232211).

11222110000 divided by its reverse (1122211) gives a 4-th power (10000 = 104).

It can be divided in two parts, 112221 and 10000, that added together give a palindrome (122221).

The spelling of 11222110000 in words is "eleven billion, two hundred twenty-two million, one hundred ten thousand".