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11020000110120 = 23325317912899697
BaseRepresentation
bin1010000001011100101100…
…1100010010011000101000
31110000111112202101112121200
42200113023030102120220
52421022430012010440
635234303531204200
72215111606256301
oct240271314223050
943014482345550
1011020000110120
113569612853741
12129b8bb8a6660
1361c248b39b41
142a15298897a8
151419c7447c30
hexa05cb312628

11020000110120 has 384 divisors, whose sum is σ = 37471209984000. Its totient is φ = 2805404958720.

The previous prime is 11020000110109. The next prime is 11020000110127. The reversal of 11020000110120 is 2101100002011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11020000110127) by changing a digit.

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, 1136429112 + ... + 1136438808.

It is an arithmetic number, because the mean of its divisors is an integer number (97581276000).

Almost surely, 211020000110120 is an apocalyptic number.

11020000110120 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 11020000110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735604992000).

11020000110120 is an abundant number, since it is smaller than the sum of its proper divisors (26451209873880).

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

11020000110120 is a wasteful number, since it uses less digits than its factorization.

11020000110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11020000110120 its reverse (2101100002011), we get a palindrome (13121100112131).

The spelling of 11020000110120 in words is "eleven trillion, twenty billion, one hundred ten thousand, one hundred twenty".