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11210022100 = 2252202955249
BaseRepresentation
bin10100111000010101…
…10101110011010100
31001221020122010101201
422130022311303110
5140424231201400
65052205402244
7544536421114
oct123412656324
931836563351
1011210022100
114832846582
12220a269384
1310985b0594
14784b41044
1545922806a
hex29c2b5cd4

11210022100 has 36 divisors (see below), whose sum is σ = 24338177500. Its totient is φ = 4481717760.

The previous prime is 11210022079. The next prime is 11210022101. The reversal of 11210022100 is 122001211.

11210022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1014677316 + 10195344784 = 31854^2 + 100972^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210022101) 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 11 ways as a sum of consecutive naturals, for example, 175276 + ... + 230524.

Almost surely, 211210022100 is an apocalyptic number.

11210022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11210022100 is an abundant number, since it is smaller than the sum of its proper divisors (13128155400).

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

11210022100 is a wasteful number, since it uses less digits than its factorization.

11210022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57292 (or 57285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11210022100 its reverse (122001211), we get a palindrome (11332023311).

The spelling of 11210022100 in words is "eleven billion, two hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2029 4058 8116 10145 20290 40580 50725 55249 101450 110498 202900 220996 276245 552490 1104980 1381225 2762450 5524900 112100221 224200442 448400884 560501105 1121002210 2242004420 2802505525 5605011050 11210022100