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11220020000 = 2554721072
BaseRepresentation
bin10100111001100001…
…11110101100100000
31001221221110001221022
422130300332230200
5140434311120000
65053203545012
7545020411400
oct123460765440
931857401838
1011220020000
114838455102
12221168b168
13109a6a11b7
147861c4800
1545a050585
hex29cc3eb20

11220020000 has 270 divisors, whose sum is σ = 32412427047. Its totient is φ = 3810912000.

The previous prime is 11220019981. The next prime is 11220020003. The reversal of 11220020000 is 2002211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2594068624 + 8625951376 = 50932^2 + 92876^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74900.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11220020000.

It is not an unprimeable number, because it can be changed into a prime (11220020003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104859947 + ... + 104860053.

Almost surely, 211220020000 is an apocalyptic number.

11220020000 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 11220020000

11220020000 is an abundant number, since it is smaller than the sum of its proper divisors (21192407047).

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

11220020000 is an frugal number, since it uses more digits than its factorization.

11220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 121 counting only the distinct ones).

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

Adding to 11220020000 its reverse (2002211), we get a palindrome (11222022211).

The spelling of 11220020000 in words is "eleven billion, two hundred twenty million, twenty thousand".