Search a number
-
+
201002210010100 = 225216312331423927
BaseRepresentation
bin101101101100111101111001…
…010100111010001111110100
3222100200121211121120121222101
4231230331321110322033310
5202321210011230310400
61551255050204111444
760223634066663632
oct5554757124721764
9870617747517871
10201002210010100
1159055616485574
121a6636a9535584
1388205723823b5
14378c7b7792352
1518387de84d56a
hexb6cf7953a3f4

201002210010100 has 36 divisors (see below), whose sum is σ = 438850714749664. Its totient is φ = 79907627040480.

The previous prime is 201002210010061. The next prime is 201002210010101. The reversal of 201002210010100 is 1010012200102.

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 (201002210010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6165695664 + ... + 6165728263.

Almost surely, 2201002210010100 is an apocalyptic number.

201002210010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002210010100 is an abundant number, since it is smaller than the sum of its proper divisors (237848504739564).

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

201002210010100 is a wasteful number, since it uses less digits than its factorization.

201002210010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331424104 (or 12331424097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201002210010100 its reverse (1010012200102), we get a palindrome (202012222210202).

The spelling of 201002210010100 in words is "two hundred one trillion, two billion, two hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 12331423927 24662847854 49325695708 61657119635 123314239270 246628478540 308285598175 616571196350 1233142392700 2010022100101 4020044200202 8040088400404 10050110500505 20100221001010 40200442002020 50250552502525 100501105005050 201002210010100