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11220102100 = 2252611839361
BaseRepresentation
bin10100111001100010…
…10010101111010100
31001221221121020120001
422130301102233110
5140434321231400
65053205421044
7545021202634
oct123461225724
931857536501
1011220102100
114838500859
12221170a784
13109a6cc68c
147862066c4
1545a069a6a
hex29cc52bd4

11220102100 has 36 divisors (see below), whose sum is σ = 24746776348. Its totient is φ = 4414464000.

The previous prime is 11220102083. The next prime is 11220102139. The reversal of 11220102100 is 120102211.

11220102100 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 54375876 + 11165726224 = 7374^2 + 105668^2 .

It is a super-2 number, since 2×112201021002 (a number of 21 digits) contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 913581 + ... + 925780.

Almost surely, 211220102100 is an apocalyptic number.

11220102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220102100 is an abundant number, since it is smaller than the sum of its proper divisors (13526674248).

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

11220102100 is a wasteful number, since it uses less digits than its factorization.

11220102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839436 (or 1839429 counting only the distinct ones).

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

Adding to 11220102100 its reverse (120102211), we get a palindrome (11340204311).

The spelling of 11220102100 in words is "eleven billion, two hundred twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 1839361 3678722 7357444 9196805 18393610 36787220 45984025 91968050 112201021 183936100 224402042 448804084 561005105 1122010210 2244020420 2805025525 5610051050 11220102100