Search a number
-
+
2321213002020 = 223251124113013739
BaseRepresentation
bin100001110001110011000…
…100111001000100100100
322012220110022210000220200
4201301303010321010210
5301012321012031040
64534203414230500
7326462551654353
oct41616304710444
98186408700820
102321213002020
1181546a253510
12315a49655430
1313ab74165183
14804c102d99a
15405a7b60630
hex21c73139124

2321213002020 has 288 divisors, whose sum is σ = 7720969576320. Its totient is φ = 559802880000.

The previous prime is 2321213002019. The next prime is 2321213002039. The reversal of 2321213002020 is 202003121232.

2321213002020 is a `hidden beast` number, since 2 + 321 + 2 + 1 + 300 + 20 + 20 = 666.

It is a super-3 number, since 3×23212130020203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2321213001984 and 2321213002002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620809311 + ... + 620813049.

It is an arithmetic number, because the mean of its divisors is an integer number (26808922140).

Almost surely, 22321213002020 is an apocalyptic number.

2321213002020 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 2321213002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860484788160).

2321213002020 is an abundant number, since it is smaller than the sum of its proper divisors (5399756574300).

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

2321213002020 is a wasteful number, since it uses less digits than its factorization.

2321213002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2321213002020 its reverse (202003121232), we get a palindrome (2523216123252).

The spelling of 2321213002020 in words is "two trillion, three hundred twenty-one billion, two hundred thirteen million, two thousand, twenty".