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11210211108 = 223518163719
BaseRepresentation
bin10100111000010111…
…00011111100100100
31001221020222201200000
422130023203330210
5140424303223413
65052213421300
7544541136135
oct123413437444
931836881600
1011210211108
114832965588
12220a33a830
131098648615
14784b8dc8c
15459264073
hex29c2e3f24

11210211108 has 72 divisors (see below), whose sum is σ = 29549257920. Its totient is φ = 3716033760.

The previous prime is 11210211107. The next prime is 11210211113. The reversal of 11210211108 is 80111201211.

11210211108 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 (18).

It is not an unprimeable number, because it can be changed into a prime (11210211107) 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 23 ways as a sum of consecutive naturals, for example, 144073 + ... + 207791.

It is an arithmetic number, because the mean of its divisors is an integer number (410406360).

Almost surely, 211210211108 is an apocalyptic number.

11210211108 is a gapful number since it is divisible by the number (18) 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 11210211108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774628960).

11210211108 is an abundant number, since it is smaller than the sum of its proper divisors (18339046812).

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

11210211108 is a wasteful number, since it uses less digits than its factorization.

11210211108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63919 (or 63905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11210211108 its reverse (80111201211), we get a palindrome (91321412319).

The spelling of 11210211108 in words is "eleven billion, two hundred ten million, two hundred eleven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 972 1086 1629 2172 3258 4887 6516 9774 14661 19548 29322 43983 58644 63719 87966 127438 175932 191157 254876 382314 573471 764628 1146942 1720413 2293884 3440826 5161239 6881652 10322478 11533139 15483717 20644956 23066278 30967434 34599417 46132556 61934868 69198834 103798251 138397668 207596502 311394753 415193004 622789506 934184259 1245579012 1868368518 2802552777 3736737036 5605105554 11210211108