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201022000002 = 23219495730061
BaseRepresentation
bin1011101100110111011…
…0000100101110000010
3201012212120100122221100
42323031312010232002
511243143113000002
6232203115035230
720344340543565
oct2731566045602
9635776318840
10201022000002
11782867509aa
1232b61a3bb16
1315c57c8cbc5
149a2db184dc
15536804e11c
hex2ecdd84b82

201022000002 has 24 divisors (see below), whose sum is σ = 435771215100. Its totient is φ = 66972941280.

The previous prime is 201022000001. The next prime is 201022000033. The reversal of 201022000002 is 200000220102.

201022000002 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 2 ways, for example, as 198863375481 + 2158624521 = 445941^2 + 46461^2 .

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

It is not an unprimeable number, because it can be changed into a prime (201022000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2829949 + ... + 2900112.

Almost surely, 2201022000002 is an apocalyptic number.

201022000002 is an abundant number, since it is smaller than the sum of its proper divisors (234749215098).

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

201022000002 is a wasteful number, since it uses less digits than its factorization.

201022000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732018 (or 5732015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201022000002 its reverse (200000220102), we get a palindrome (401022220104).

It can be divided in two parts, 20102 and 2000002, that multiplied together give a palindrome (40204040204).

The spelling of 201022000002 in words is "two hundred one billion, twenty-two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 1949 3898 5847 11694 17541 35082 5730061 11460122 17190183 34380366 51570549 103141098 11167888889 22335777778 33503666667 67007333334 100511000001 201022000002