Search a number
-
+
303223120020 = 22325193761163241
BaseRepresentation
bin1000110100110011000…
…00011010000010010100
31001222200010210111012200
410122121200122002110
514432000104320040
6351144311444500
730623102664612
oct4323140320224
91058603714180
10303223120020
11107661601057
124a924986730
1322794803a12
14109672286b2
157d4a627630
hex469981a094

303223120020 has 576 divisors, whose sum is σ = 1021073813760. Its totient is φ = 72559411200.

The previous prime is 303223119961. The next prime is 303223120021. The reversal of 303223120020 is 20021322303.

It is a happy number.

303223120020 is a `hidden beast` number, since 30 + 322 + 312 + 0 + 0 + 2 + 0 = 666.

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 = 303223119975 and 303223120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303223120021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1258187100 + ... + 1258187340.

Almost surely, 2303223120020 is an apocalyptic number.

303223120020 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 303223120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510536906880).

303223120020 is an abundant number, since it is smaller than the sum of its proper divisors (717850693740).

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

303223120020 is a wasteful number, since it uses less digits than its factorization.

303223120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

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

Adding to 303223120020 its reverse (20021322303), we get a palindrome (323244442323).

The spelling of 303223120020 in words is "three hundred three billion, two hundred twenty-three million, one hundred twenty thousand, twenty".