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11220101113320 = 233251141956312011
BaseRepresentation
bin1010001101000110001000…
…1001000010010111101000
31110201122001010201201110100
42203101202021002113220
52432312231341111240
635510235430145400
72235424364604261
oct243214211022750
943648033651410
1011220101113320
113636466631060
1213126451b2260
13635088061308
142ab0ad13d968
15146cd96bde30
hexa34622425e8

11220101113320 has 384 divisors, whose sum is σ = 39949451942400. Its totient is φ = 2708487513600.

The previous prime is 11220101113271. The next prime is 11220101113343. The reversal of 11220101113320 is 2331110102211.

11220101113320 is a `hidden beast` number, since 1 + 1 + 220 + 1 + 0 + 111 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220101113293 and 11220101113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934146115 + ... + 934158125.

It is an arithmetic number, because the mean of its divisors is an integer number (104035031100).

Almost surely, 211220101113320 is an apocalyptic number.

11220101113320 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 11220101113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19974725971200).

11220101113320 is an abundant number, since it is smaller than the sum of its proper divisors (28729350829080).

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

11220101113320 is a wasteful number, since it uses less digits than its factorization.

11220101113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13021 (or 13014 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11220101113320 its reverse (2331110102211), we get a palindrome (13551211215531).

The spelling of 11220101113320 in words is "eleven trillion, two hundred twenty billion, one hundred one million, one hundred thirteen thousand, three hundred twenty".