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101103220 = 22517332917
BaseRepresentation
bin1100000011010…
…11011001110100
321001020120112201
412001223121310
5201340300340
614010554244
72335235401
oct601533164
9231216481
10101103220
1152085389
1229a38984
1317c3b9ba
14d5db2a8
158d2179a
hex606b674

101103220 has 24 divisors (see below), whose sum is σ = 212512104. Its totient is φ = 40404096.

The previous prime is 101103217. The next prime is 101103221. The reversal of 101103220 is 22301101.

It can be written as a sum of positive squares in 4 ways, for example, as 38787984 + 62315236 = 6228^2 + 7894^2 .

It is a super-2 number, since 2×1011032202 = 20443722188736800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101103197 and 101103206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33202 + ... + 36118.

It is an arithmetic number, because the mean of its divisors is an integer number (8854671).

Almost surely, 2101103220 is an apocalyptic number.

101103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103220 is an abundant number, since it is smaller than the sum of its proper divisors (111408884).

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

101103220 is a wasteful number, since it uses less digits than its factorization.

101103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101103220 is about 10055.0096966636. The cubic root of 101103220 is about 465.8595424834.

Adding to 101103220 its reverse (22301101), we get a palindrome (123404321).

The spelling of 101103220 in words is "one hundred one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1733 2917 3466 5834 6932 8665 11668 14585 17330 29170 34660 58340 5055161 10110322 20220644 25275805 50551610 101103220