Search a number
-
+
100010121021 = 3279336141851
BaseRepresentation
bin101110100100100010…
…0010101011100111101
3100120010212200112200100
41131021010111130331
53114310042333041
6113535523551313
710140226000566
oct1351104253475
9316125615610
10100010121021
1139461119188
121747122b539
13957a944405
144baa53716d
1529050886b6
hex174911573d

100010121021 has 24 divisors (see below), whose sum is σ = 146334680960. Its totient is φ = 65808288000.

The previous prime is 100010120999. The next prime is 100010121031. The reversal of 100010121021 is 120121010001.

It is a happy number.

It is not a de Polignac number, because 100010121021 - 25 = 100010120989 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010120994 and 100010121012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010121031) 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, 2368746 + ... + 2410596.

Almost surely, 2100010121021 is an apocalyptic number.

It is an amenable number.

100010121021 is a deficient number, since it is larger than the sum of its proper divisors (46324559939).

100010121021 is a wasteful number, since it uses less digits than its factorization.

100010121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45297 (or 45294 counting only the distinct ones).

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

Adding to 100010121021 its reverse (120121010001), we get a palindrome (220131131022).

The spelling of 100010121021 in words is "one hundred billion, ten million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 79 237 711 3361 10083 30249 41851 125553 265519 376659 796557 2389671 3306229 9918687 29756061 140661211 421983633 1265950899 11112235669 33336707007 100010121021