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11020101120 = 29325768329
BaseRepresentation
bin10100100001101100…
…10110011000000000
31001110000021010210100
422100312112120000
5140032121213440
65021303002400
7540042212460
oct122066263000
931400233710
1011020101120
114745618096
122176739400
131068144ac2
14767823ba0
15447710230
hex290d96600

11020101120 has 240 divisors, whose sum is σ = 43618592160. Its totient is φ = 2518843392.

The previous prime is 11020101101. The next prime is 11020101121. The reversal of 11020101120 is 2110102011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×110201011203 (a number of 31 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020101121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127116 + ... + 195444.

It is an arithmetic number, because the mean of its divisors is an integer number (181744134).

Almost surely, 211020101120 is an apocalyptic number.

11020101120 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 11020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21809296080).

11020101120 is an abundant number, since it is smaller than the sum of its proper divisors (32598491040).

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

11020101120 is an equidigital number, since it uses as much as digits as its factorization.

11020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68365 (or 68346 counting only the distinct ones).

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

Adding to 11020101120 its reverse (2110102011), we get a palindrome (13130203131).

The spelling of 11020101120 in words is "eleven billion, twenty million, one hundred one thousand, one hundred twenty".