Search a number
-
+
3022312012020 = 22325721811893181
BaseRepresentation
bin101011111110101111110…
…101010111100011110100
3101200221010010020220221200
4223332233311113203310
5344004143333341040
610232233031212500
7431232465141600
oct53765765274364
911627103226850
103022312012020
11a65834380634
124098b2217130
1318c0061c7292
14a63d0296500
155393d455630
hex2bfafd578f4

3022312012020 has 216 divisors, whose sum is σ = 10723369057128. Its totient is φ = 686997158400.

The previous prime is 3022312012019. The next prime is 3022312012039. The reversal of 3022312012020 is 202102132203.

3022312012020 is a `hidden beast` number, since 30 + 2 + 231 + 201 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191014450704 + 2831297561316 = 437052^2 + 1682646^2 .

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 = 3022312011984 and 3022312012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 649830 + ... + 2543010.

Almost surely, 23022312012020 is an apocalyptic number.

3022312012020 is a gapful number since it is divisible by the number (30) 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 3022312012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361684528564).

3022312012020 is an abundant number, since it is smaller than the sum of its proper divisors (7701057045108).

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

3022312012020 is a wasteful number, since it uses less digits than its factorization.

3022312012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893391 (or 1893379 counting only the distinct ones).

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

Adding to 3022312012020 its reverse (202102132203), we get a palindrome (3224414144223).

The spelling of 3022312012020 in words is "three trillion, twenty-two billion, three hundred twelve million, twelve thousand, twenty".