Search a number
-
+
20202200010100 = 2252661733052937
BaseRepresentation
bin1001001011111101100001…
…11101001000110101110100
32122112022102001110021122201
410211332300331020311310
510121443101200310400
6110544432414034244
74153363230526333
oct445766075106564
978468361407581
1020202200010100
1164897832653a9
1223233a3aa8984
13b370a0339024
144dbb125bdd1a
1525078b52a06a
hex125fb0f48d74

20202200010100 has 36 divisors (see below), whose sum is σ = 43839450869004. Its totient is φ = 8080755239680.

The previous prime is 20202200010059. The next prime is 20202200010107. The reversal of 20202200010100 is 101000220202.

It can be written as a sum of positive squares in 6 ways, for example, as 4307833083024 + 15894366927076 = 2075532^2 + 3986774^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202200010107) 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, 5090832 + ... + 8143768.

It is an arithmetic number, because the mean of its divisors is an integer number (1217762524139).

Almost surely, 220202200010100 is an apocalyptic number.

20202200010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202200010100 is an abundant number, since it is smaller than the sum of its proper divisors (23637250858904).

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

20202200010100 is a wasteful number, since it uses less digits than its factorization.

20202200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119124 (or 3119117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20202200010100 its reverse (101000220202), we get a palindrome (20303200230302).

The spelling of 20202200010100 in words is "twenty trillion, two hundred two billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 66173 132346 264692 330865 661730 1323460 1654325 3052937 3308650 6105874 6617300 12211748 15264685 30529370 61058740 76323425 152646850 305293700 202022000101 404044000202 808088000404 1010110000505 2020220001010 4040440002020 5050550002525 10101100005050 20202200010100