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20001010100 = 2252990120201
BaseRepresentation
bin10010101000001001…
…110011000110110100
31220121220102120211212
4102220021303012310
5311430224310400
613104403020552
71305433531541
oct225011630664
956556376755
1020001010100
118534059a15
123a6236a758
131b6996c626
14d7a4a9bc8
157c0dba335
hex4a82731b4

20001010100 has 36 divisors (see below), whose sum is σ = 43408724268. Its totient is φ = 7999200000.

The previous prime is 20001010093. The next prime is 20001010109. The reversal of 20001010100 is 101010002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1107957796 + 18893052304 = 33286^2 + 137452^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980000 + ... + 1000200.

Almost surely, 220001010100 is an apocalyptic number.

20001010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001010100 is an abundant number, since it is smaller than the sum of its proper divisors (23407714168).

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

20001010100 is a wasteful number, since it uses less digits than its factorization.

20001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30116 (or 30109 counting only the distinct ones).

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

Adding to 20001010100 its reverse (101010002), we get a palindrome (20102020102).

The spelling of 20001010100 in words is "twenty billion, one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9901 19802 20201 39604 40402 49505 80804 99010 101005 198020 202010 247525 404020 495050 505025 990100 1010050 2020100 200010101 400020202 800040404 1000050505 2000101010 4000202020 5000252525 10000505050 20001010100