Search a number
-
+
2231311102020 = 223257112133730427
BaseRepresentation
bin100000011110000100100…
…000010111000001000100
321220022101220111022200200
4200132010200113001010
5243024211120231040
64425014500410500
7320130653300550
oct40360440270104
97808356438620
102231311102020
11790325a46400
123005396a6a30
1313254776c940
1479dd318a860
153d095210630
hex20784817044

2231311102020 has 864 divisors, whose sum is σ = 9404144865024. Its totient is φ = 416402933760.

The previous prime is 2231311102003. The next prime is 2231311102081. The reversal of 2231311102020 is 202011131322.

2231311102020 is a `hidden beast` number, since 2 + 231 + 311 + 102 + 0 + 20 = 666.

It is a super-3 number, since 3×22313111020203 (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 = 2231311101984 and 2231311102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 73318047 + ... + 73348473.

Almost surely, 22231311102020 is an apocalyptic number.

2231311102020 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 2231311102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702072432512).

2231311102020 is an abundant number, since it is smaller than the sum of its proper divisors (7172833763004).

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

2231311102020 is a wasteful number, since it uses less digits than its factorization.

2231311102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30521 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2231311102020 its reverse (202011131322), we get a palindrome (2433322233342).

The spelling of 2231311102020 in words is "two trillion, two hundred thirty-one billion, three hundred eleven million, one hundred two thousand, twenty".