Search a number
-
+
20001100100 = 22521711765353
BaseRepresentation
bin10010101000001010…
…001001000101000100
31220121220121011022012
4102220022021011010
5311430240200400
613104404553352
71305434355122
oct225012110504
956556534265
1020001100100
1185341105a3
123a623b2858
131b699a1597
14d7a4d0912
157c0dd6d35
hex4a8289144

20001100100 has 36 divisors (see below), whose sum is σ = 45955472724. Its totient is φ = 7529825280.

The previous prime is 20001100073. The next prime is 20001100111. The reversal of 20001100100 is 100110002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 333281536 + 19667818564 = 18256^2 + 140242^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5880977 + ... + 5884376.

It is an arithmetic number, because the mean of its divisors is an integer number (1276540909).

Almost surely, 220001100100 is an apocalyptic number.

20001100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001100100 is an abundant number, since it is smaller than the sum of its proper divisors (25954372624).

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

20001100100 is a wasteful number, since it uses less digits than its factorization.

20001100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765384 (or 11765377 counting only the distinct ones).

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

Adding to 20001100100 its reverse (100110002), we get a palindrome (20101210102).

The spelling of 20001100100 in words is "twenty billion, one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11765353 23530706 47061412 58826765 117653530 200011001 235307060 294133825 400022002 588267650 800044004 1000055005 1176535300 2000110010 4000220020 5000275025 10000550050 20001100100