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11102111020 = 22571113619091
BaseRepresentation
bin10100101011011110…
…01100010100101100
31001122201120200020001
422111233030110230
5140214120023040
65033352434044
7542056246420
oct122557142454
931581520201
1011102111020
114787941370
12219a0a8924
13107c129c80
14774690b80
1544ea0e59a
hex295bcc52c

11102111020 has 192 divisors, whose sum is σ = 31819963392. Its totient is φ = 3141504000.

The previous prime is 11102110979. The next prime is 11102111023. The reversal of 11102111020 is 2011120111.

11102111020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 11102110988 and 11102111006.

It is not an unprimeable number, because it can be changed into a prime (11102111023) 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 63 ways as a sum of consecutive naturals, for example, 1216675 + ... + 1225765.

It is an arithmetic number, because the mean of its divisors is an integer number (165728976).

Almost surely, 211102111020 is an apocalyptic number.

11102111020 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 11102111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909981696).

11102111020 is an abundant number, since it is smaller than the sum of its proper divisors (20717852372).

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

11102111020 is a wasteful number, since it uses less digits than its factorization.

11102111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11102111020 its reverse (2011120111), we get a palindrome (13113231131).

Subtracting from 11102111020 its reverse (2011120111), we obtain a palindrome (9090990909).

The spelling of 11102111020 in words is "eleven billion, one hundred two million, one hundred eleven thousand, twenty".