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11212222100 = 22521015032207
BaseRepresentation
bin10100111000100110…
…01110111010010100
31001221101202220020012
422130103032322110
5140430312101400
65052324455352
7544564213112
oct123423167224
931841686205
1011212222100
114834009462
12220ab4a558
131098ba0a61
14785154ab2
1545950ed35
hex29c4cee94

11212222100 has 72 divisors (see below), whose sum is σ = 24631423488. Its totient is φ = 4429648000.

The previous prime is 11212222097. The next prime is 11212222141. The reversal of 11212222100 is 122221211.

11212222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5079197 + ... + 5081403.

It is an arithmetic number, because the mean of its divisors is an integer number (342103104).

Almost surely, 211212222100 is an apocalyptic number.

11212222100 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 11212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315711744).

11212222100 is an abundant number, since it is smaller than the sum of its proper divisors (13419201388).

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

11212222100 is a wasteful number, since it uses less digits than its factorization.

11212222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212222100 its reverse (122221211), we get a palindrome (11334443311).

The spelling of 11212222100 in words is "eleven billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 503 505 1006 1010 2012 2020 2207 2515 2525 4414 5030 5050 8828 10060 10100 11035 12575 22070 25150 44140 50300 50803 55175 101606 110350 203212 220700 222907 254015 445814 508030 891628 1016060 1110121 1114535 1270075 2220242 2229070 2540150 4440484 4458140 5080300 5550605 5572675 11101210 11145350 22202420 22290700 27753025 55506050 111012100 112122221 224244442 448488884 560611105 1121222210 2242444420 2803055525 5606111050 11212222100