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2100221202020 = 225193544098757
BaseRepresentation
bin11110100011111110111…
…100000100111001100100
321102210001000201102100012
4132203332330010321210
5233402223111431040
64244454525105352
7304510303444304
oct36437674047144
97383030642305
102100221202020
1173a776130277
1229b0539b8258
13123085b42686
1473919051604
153997185d865
hex1e8fef04e64

2100221202020 has 24 divisors (see below), whose sum is σ = 4433316680184. Its totient is φ = 835735689216.

The previous prime is 2100221201989. The next prime is 2100221202029. The reversal of 2100221202020 is 202021220012.

It can be written as a sum of positive squares in 4 ways, for example, as 74284592704 + 2025936609316 = 272552^2 + 1423354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100221201986 and 2100221202004.

It is not an unprimeable number, because it can be changed into a prime (2100221202029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 272045519 + ... + 272053238.

It is an arithmetic number, because the mean of its divisors is an integer number (184721528341).

Almost surely, 22100221202020 is an apocalyptic number.

2100221202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100221202020 is an abundant number, since it is smaller than the sum of its proper divisors (2333095478164).

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

2100221202020 is a wasteful number, since it uses less digits than its factorization.

2100221202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544098959 (or 544098957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2100221202020 its reverse (202021220012), we get a palindrome (2302242422032).

The spelling of 2100221202020 in words is "two trillion, one hundred billion, two hundred twenty-one million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 544098757 1088197514 2176395028 2720493785 5440987570 10881975140 105011060101 210022120202 420044240404 525055300505 1050110601010 2100221202020