Search a number
-
+
230101221020 = 2251119479531229
BaseRepresentation
bin1101011001001100011…
…0011111111010011100
3210222221011001011000012
43112103012133322130
512232221403033040
6253412415422352
722424060051606
oct3262306377234
9728834034005
10230101221020
1189649160070
12387185249b8
1318910664768
14b1cbb58176
155ebade4865
hex359319fe9c

230101221020 has 192 divisors, whose sum is σ = 567747532800. Its totient is φ = 77438269440.

The previous prime is 230101221019. The next prime is 230101221037. The reversal of 230101221020 is 20122101032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230101220986 and 230101221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187225766 + ... + 187226994.

It is an arithmetic number, because the mean of its divisors is an integer number (2957018400).

Almost surely, 2230101221020 is an apocalyptic number.

230101221020 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 230101221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283873766400).

230101221020 is an abundant number, since it is smaller than the sum of its proper divisors (337646311780).

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

230101221020 is a wasteful number, since it uses less digits than its factorization.

230101221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 230101221020 its reverse (20122101032), we get a palindrome (250223322052).

The spelling of 230101221020 in words is "two hundred thirty billion, one hundred one million, two hundred twenty-one thousand, twenty".