Search a number
-
+
100011000020 = 22525719457393
BaseRepresentation
bin101110100100100011…
…1101100000011010100
3100120010221100012102212
41131021013230003110
53114310304000040
6113535554452552
710140236321351
oct1351107540324
9316127305385
10100011000020
1139461669628
1217471594158
13957ab91529
144baa6c5628
1529051add65
hex17491ec0d4

100011000020 has 24 divisors (see below), whose sum is σ = 210840321384. Its totient is φ = 39848738816.

The previous prime is 100010999951. The next prime is 100011000059. The reversal of 100011000020 is 20000110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37559990416 + 62451009604 = 193804^2 + 249902^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 100010999968 and 100011000013.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9723557 + ... + 9733836.

It is an arithmetic number, because the mean of its divisors is an integer number (8785013391).

Almost surely, 2100011000020 is an apocalyptic number.

100011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011000020 is an abundant number, since it is smaller than the sum of its proper divisors (110829321364).

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

100011000020 is a wasteful number, since it uses less digits than its factorization.

100011000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19457659 (or 19457657 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 100011000020 its reverse (20000110001), we get a palindrome (120011110021).

The spelling of 100011000020 in words is "one hundred billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 19457393 38914786 77829572 97286965 194573930 389147860 5000550001 10001100002 20002200004 25002750005 50005500010 100011000020