Search a number
-
+
20212202021220 = 223351119197909091
BaseRepresentation
bin1001001100010000001010…
…00111110010000101100100
32122120021020010000002112000
410212020011013302011210
510122124042204134340
6110553205111525300
74154166131315526
oct446100507620544
978507203002460
1020212202021220
116492a461233a0
122325315689830
13b3800557b9c1
144dc3c0b07a16
15250b74683d30
hex1262051f2164

20212202021220 has 384 divisors, whose sum is σ = 72576087091200. Its totient is φ = 4618468108800.

The previous prime is 20212202021183. The next prime is 20212202021227. The reversal of 20212202021220 is 2212020221202.

20212202021220 is a `hidden beast` number, since 2 + 0 + 21 + 220 + 202 + 1 + 220 = 666.

It is a super-2 number, since 2×202122020212202 (a number of 27 digits) contains 22 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 = 20212202021193 and 20212202021202.

It is not an unprimeable number, because it can be changed into a prime (20212202021227) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 21778875 + ... + 22687965.

It is an arithmetic number, because the mean of its divisors is an integer number (189000226800).

Almost surely, 220212202021220 is an apocalyptic number.

20212202021220 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 20212202021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288043545600).

20212202021220 is an abundant number, since it is smaller than the sum of its proper divisors (52363885069980).

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

20212202021220 is a wasteful number, since it uses less digits than its factorization.

20212202021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909336 (or 909328 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212202021220 its reverse (2212020221202), we get a palindrome (22424222242422).

The spelling of 20212202021220 in words is "twenty trillion, two hundred twelve billion, two hundred two million, twenty-one thousand, two hundred twenty".