Search a number
-
+
230120313010020 = 2232519419071809413
BaseRepresentation
bin110100010100101100001111…
…100000110011011101100100
31010011210021202021110222120200
4310110230033200303131210
5220130242400112310040
62133231451250030500
766320433610513056
oct6424541740633544
91104707667428520
10230120313010020
1167361527519594
1221986a37278430
139b533386b9c04
1440b7c4db158d6
151b90e5654c630
hexd14b0f833764

230120313010020 has 288 divisors, whose sum is σ = 753521630359680. Its totient is φ = 56655150520320.

The previous prime is 230120313009971. The next prime is 230120313010033. The reversal of 230120313010020 is 20010313021032.

230120313010020 is a `hidden beast` number, since 2 + 301 + 20 + 313 + 0 + 10 + 0 + 20 = 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 = 230120313009975 and 230120313010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126274834 + ... + 128084246.

It is an arithmetic number, because the mean of its divisors is an integer number (2616394549860).

Almost surely, 2230120313010020 is an apocalyptic number.

230120313010020 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 230120313010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376760815179840).

230120313010020 is an abundant number, since it is smaller than the sum of its proper divisors (523401317349660).

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

230120313010020 is a wasteful number, since it uses less digits than its factorization.

230120313010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810395 (or 1810390 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230120313010020 its reverse (20010313021032), we get a palindrome (250130626031052).

The spelling of 230120313010020 in words is "two hundred thirty trillion, one hundred twenty billion, three hundred thirteen million, ten thousand, twenty".