Search a number
-
+
2100000100220 = 22511171275637853
BaseRepresentation
bin11110100011110001110…
…000101000111101111100
321102202110121200021200122
4132203301300220331330
5233401300011201340
64244420550114112
7304501650221531
oct36436160507574
97382417607618
102100000100220
1173a672345210
1229abb194b938
1312304c0aa5c9
14738d7938d88
153995c236db5
hex1e8f1c28f7c

2100000100220 has 192 divisors, whose sum is σ = 5143787421696. Its totient is φ = 711700254720.

The previous prime is 2100000100217. The next prime is 2100000100223. The reversal of 2100000100220 is 220010000012.

It is an interprime number because it is at equal distance from previous prime (2100000100217) and next prime (2100000100223).

It is a junction number, because it is equal to n+sod(n) for n = 2100000100198 and 2100000100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100000100223) 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 63 ways as a sum of consecutive naturals, for example, 267409814 + ... + 267417666.

It is an arithmetic number, because the mean of its divisors is an integer number (26790559488).

Almost surely, 22100000100220 is an apocalyptic number.

2100000100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100000100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571893710848).

2100000100220 is an abundant number, since it is smaller than the sum of its proper divisors (3043787321476).

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

2100000100220 is a wasteful number, since it uses less digits than its factorization.

2100000100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8580 (or 8578 counting only the distinct ones).

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

Adding to 2100000100220 its reverse (220010000012), we get a palindrome (2320010100232).

The spelling of 2100000100220 in words is "two trillion, one hundred billion, one hundred thousand, two hundred twenty".