Search a number
-
+
301022323020 = 2232537439671087
BaseRepresentation
bin1000110000101100101…
…01000010000101001100
31001202222202121102021200
410120112111002011030
514412443203314040
6350142053025500
730514420346046
oct4302625020514
91052882542250
10301022323020
11106732287761
124a40b925290
1322503883683
14107d8c20a96
157c6c2ee630
hex461654214c

301022323020 has 288 divisors, whose sum is σ = 961464311808. Its totient is φ = 76137739776.

The previous prime is 301022322967. The next prime is 301022323033. The reversal of 301022323020 is 20323220103.

It is a happy number.

301022323020 is a `hidden beast` number, since 30 + 102 + 232 + 302 + 0 = 666.

It is a super-2 number, since 2×3010223230202 (a number of 24 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 = 301022322984 and 301022323002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276928917 + ... + 276930003.

Almost surely, 2301022323020 is an apocalyptic number.

301022323020 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 301022323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480732155904).

301022323020 is an abundant number, since it is smaller than the sum of its proper divisors (660441988788).

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

301022323020 is a wasteful number, since it uses less digits than its factorization.

301022323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 301022323020 its reverse (20323220103), we get a palindrome (321345543123).

The spelling of 301022323020 in words is "three hundred one billion, twenty-two million, three hundred twenty-three thousand, twenty".