Search a number
-
+
201002121212020 = 22510050106060601
BaseRepresentation
bin101101101100111101110100…
…000010001011000001110100
3222100200121121102111012220121
4231230331310002023001310
5202321204321012241040
61551255033312541324
760223631641135252
oct5554756402130164
9870617542435817
10201002121212020
1159055580345227
121a663683851844
138820559b6155b
14378c7a9a795d2
1518387d6b5cc4a
hexb6cf7408b074

201002121212020 has 12 divisors (see below), whose sum is σ = 422104454545284. Its totient is φ = 80400848484800.

The previous prime is 201002121211981. The next prime is 201002121212033. The reversal of 201002121212020 is 20212121200102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74426750884836 + 126575370327184 = 8627094^2 + 11250572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201002121211985 and 201002121212003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5025053030281 + ... + 5025053030320.

It is an arithmetic number, because the mean of its divisors is an integer number (35175371212107).

Almost surely, 2201002121212020 is an apocalyptic number.

201002121212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002121212020 is an abundant number, since it is smaller than the sum of its proper divisors (221102333333264).

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

201002121212020 is a wasteful number, since it uses less digits than its factorization.

201002121212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050106060610 (or 10050106060608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201002121212020 its reverse (20212121200102), we get a palindrome (221214242412122).

The spelling of 201002121212020 in words is "two hundred one trillion, two billion, one hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 10050106060601 20100212121202 40200424242404 50250530303005 100501060606010 201002121212020