Search a number
-
+
211002202020000 = 253544127852121
BaseRepresentation
bin101111111110011111000111…
…010011000101100010100000
31000200002121120020202221110010
4233332133013103011202200
5210124030002204120000
62024433023510004520
762305256160412416
oct5776370723054240
91020077506687403
10211002202020000
11612605932514a6
121b7b9782646740
139097564970b41
143a167bd8012b6
15195d9b8c13d50
hexbfe7c74c58a0

211002202020000 has 240 divisors, whose sum is σ = 692297943144192. Its totient is φ = 56253553920000.

The previous prime is 211002202019933. The next prime is 211002202020089. The reversal of 211002202020000 is 20202200112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 247193940 + ... + 248046060.

Almost surely, 2211002202020000 is an apocalyptic number.

211002202020000 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 211002202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346148971572096).

211002202020000 is an abundant number, since it is smaller than the sum of its proper divisors (481295741124192).

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

211002202020000 is an equidigital number, since it uses as much as digits as its factorization.

211002202020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856281 (or 856258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 211002202020000 its reverse (20202200112), we get a palindrome (211022404220112).

The spelling of 211002202020000 in words is "two hundred eleven trillion, two billion, two hundred two million, twenty thousand".