Search a number
-
+
1010002332200 = 235243971148513
BaseRepresentation
bin11101011001010001101…
…01001000101000101000
310120112222210120112210012
432230220311020220220
5113021441044112300
62051553315111052
7132653541113261
oct16545065105050
93515883515705
101010002332200
1135a380a93144
121438b38a2488
13743205c16c4
1436c54a15968
151b414935435
hexeb28d48a28

1010002332200 has 48 divisors (see below), whose sum is σ = 2348791525980. Its totient is φ = 403908700160.

The previous prime is 1010002332133. The next prime is 1010002332203. The reversal of 1010002332200 is 22332000101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 157264592356 + 852737739844 = 396566^2 + 923438^2 .

It is a super-2 number, since 2×10100023322002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010002332203) 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 11 ways as a sum of consecutive naturals, for example, 305144 + ... + 1453656.

Almost surely, 21010002332200 is an apocalyptic number.

1010002332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002332200 is an abundant number, since it is smaller than the sum of its proper divisors (1338789193780).

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

1010002332200 is a wasteful number, since it uses less digits than its factorization.

1010002332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152926 (or 1152917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1010002332200 its reverse (22332000101), we get a palindrome (1032334332301).

The spelling of 1010002332200 in words is "one trillion, ten billion, two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4397 8794 17588 21985 35176 43970 87940 109925 175880 219850 439700 879400 1148513 2297026 4594052 5742565 9188104 11485130 22970260 28712825 45940520 57425650 114851300 229702600 5050011661 10100023322 20200046644 25250058305 40400093288 50500116610 101000233220 126250291525 202000466440 252500583050 505001166100 1010002332200