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11022001100 = 22521199110111
BaseRepresentation
bin10100100001111011…
…00110001111001100
31001110010211200001222
422100331212033030
5140033113013400
65021411422512
7540064314665
oct122075461714
931403750058
1011022001100
1147466a5620
1221772b4a38
13106865b856
14767b9a36c
15447988185
hex290f663cc

11022001100 has 72 divisors (see below), whose sum is σ = 26120994816. Its totient is φ = 4003560000.

The previous prime is 11022001073. The next prime is 11022001139. The reversal of 11022001100 is 110022011.

11022001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1085045 + ... + 1095155.

Almost surely, 211022001100 is an apocalyptic number.

11022001100 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 11022001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060497408).

11022001100 is an abundant number, since it is smaller than the sum of its proper divisors (15098993716).

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

11022001100 is a wasteful number, since it uses less digits than its factorization.

11022001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11022001100 its reverse (110022011), we get a palindrome (11132023111).

The spelling of 11022001100 in words is "eleven billion, twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 991 1100 1982 3964 4955 9910 10111 10901 19820 20222 21802 24775 40444 43604 49550 50555 54505 99100 101110 109010 111221 202220 218020 222442 252775 272525 444884 505550 545050 556105 1011100 1090100 1112210 2224420 2780525 5561050 10020001 11122100 20040002 40080004 50100005 100200010 110220011 200400020 220440022 250500025 440880044 501000050 551100055 1002000100 1102200110 2204400220 2755500275 5511000550 11022001100