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2100022002 = 2321317527909
BaseRepresentation
bin111110100101011…
…1100101011110010
312102100120011121200
41331022330223302
513300101201002
6544214432030
7103016615061
oct17512745362
95370504550
102100022002
11988453681
124a7362616
132760c7b90
1415cc941d8
15c456db1c
hex7d2bcaf2

2100022002 has 48 divisors (see below), whose sum is σ = 5188299480. Its totient is φ = 608150016.

The previous prime is 2100021991. The next prime is 2100022007. The reversal of 2100022002 is 2002200012.

It can be written as a sum of positive squares in 4 ways, for example, as 1017546201 + 1082475801 = 31899^2 + 32901^2 .

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 (2100022007) 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 23 ways as a sum of consecutive naturals, for example, 259977 + ... + 267932.

Almost surely, 22100022002 is an apocalyptic number.

2100022002 is an abundant number, since it is smaller than the sum of its proper divisors (3088277478).

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

2100022002 is a wasteful number, since it uses less digits than its factorization.

2100022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527947 (or 527944 counting only the distinct ones).

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

The square root of 2100022002 is about 45825.9970104307. The cubic root of 2100022002 is about 1280.5836372422.

Adding to 2100022002 its reverse (2002200012), we get a palindrome (4102222014).

The spelling of 2100022002 in words is "two billion, one hundred million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 527909 1055818 1583727 3167454 4751181 6862817 8974453 9502362 13725634 17948906 20588451 26923359 41176902 53846718 61765353 80770077 116667889 123530706 161540154 233335778 350003667 700007334 1050011001 2100022002