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201201110100 = 223252223556789
BaseRepresentation
bin1011101101100010000…
…1010100110001010100
3201020100001101101210200
42323120201110301110
511244024441010400
6232232554020500
720351644134504
oct2733041246124
9636301341720
10201201110100
1178368865a81
1232bb1a17730
1315c86111a03
149a4981da04
155378b2db00
hex2ed8854c54

201201110100 has 54 divisors (see below), whose sum is σ = 630653704590. Its totient is φ = 53653629120.

The previous prime is 201201110057. The next prime is 201201110107. The reversal of 201201110100 is 1011102102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 69436466064 + 131764644036 = 263508^2 + 362994^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201110107) 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 17 ways as a sum of consecutive naturals, for example, 111777495 + ... + 111779294.

Almost surely, 2201201110100 is an apocalyptic number.

201201110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201110100 is an abundant number, since it is smaller than the sum of its proper divisors (429452594490).

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

201201110100 is a wasteful number, since it uses less digits than its factorization.

201201110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223556809 (or 223556799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201201110100 its reverse (1011102102), we get a palindrome (202212212202).

The spelling of 201201110100 in words is "two hundred one billion, two hundred one million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 223556789 447113578 670670367 894227156 1117783945 1341340734 2012011101 2235567890 2682681468 3353351835 4024022202 4471135780 5588919725 6706703670 8048044404 10060055505 11177839450 13413407340 16766759175 20120111010 22355678900 33533518350 40240222020 50300277525 67067036700 100600555050 201201110100