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2220010101 = 32372180181
BaseRepresentation
bin1000010001010010…
…1010101001110101
312201201100012100100
42010110222221311
514021310310401
61004142304313
7106004526441
oct20424525165
95651305310
102220010101
11a3a1574a1
1251b588099
13294c1955a
14170ba9821
15ced70b86
hex8452aa75

2220010101 has 18 divisors (see below), whose sum is σ = 3295708962. Its totient is φ = 1439998560.

The previous prime is 2220010087. The next prime is 2220010109. The reversal of 2220010101 is 1010100222.

It can be written as a sum of positive squares in 3 ways, for example, as 941876100 + 1278134001 = 30690^2 + 35751^2 .

It is not a de Polignac number, because 2220010101 - 27 = 2220009973 is a prime.

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

2220010101 is a modest number, since divided by 10101 gives 2220 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220010109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77770 + ... + 102411.

Almost surely, 22220010101 is an apocalyptic number.

It is an amenable number.

2220010101 is a deficient number, since it is larger than the sum of its proper divisors (1075698861).

2220010101 is a wasteful number, since it uses less digits than its factorization.

2220010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180261 (or 180221 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2220010101 is about 47116.9831483299. The cubic root of 2220010101 is about 1304.5227285406.

Adding to 2220010101 its reverse (1010100222), we get a palindrome (3230110323).

The spelling of 2220010101 in words is "two billion, two hundred twenty million, ten thousand, one hundred one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 180181 540543 1621629 6666697 20000091 60000273 246667789 740003367 2220010101