Search a number
-
+
2320133010 = 235134123539
BaseRepresentation
bin1000101001001010…
…0110101110010010
312222200201222011020
42022102212232102
514222423224020
61022120300310
7111331543116
oct21222465622
95880658136
102320133010
11a907222a8
12549011696
132ac8a3c90
141801cd746
15d8a4bc40
hex8a4a6b92

2320133010 has 96 divisors (see below), whose sum is σ = 6148215360. Its totient is φ = 557022720.

The previous prime is 2320132993. The next prime is 2320133047. The reversal of 2320133010 is 103310232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653821 + ... + 657359.

It is an arithmetic number, because the mean of its divisors is an integer number (64043910).

Almost surely, 22320133010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320133010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074107680).

2320133010 is an abundant number, since it is smaller than the sum of its proper divisors (3828082350).

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

2320133010 is a wasteful number, since it uses less digits than its factorization.

2320133010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2320133010 is about 48167.7590302891. The cubic root of 2320133010 is about 1323.8464881816.

Adding to 2320133010 its reverse (103310232), we get a palindrome (2423443242).

The spelling of 2320133010 in words is "two billion, three hundred twenty million, one hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 1681 2665 3198 3362 3539 5043 5330 7078 7995 8405 10086 10617 15990 16810 17695 21234 21853 25215 35390 43706 46007 50430 53085 65559 92014 106170 109265 131118 138021 145099 218530 230035 276042 290198 327795 435297 460070 655590 690105 725495 870594 1380210 1450990 1886287 2176485 3772574 4352970 5658861 5949059 9431435 11317722 11898118 17847177 18862870 28294305 29745295 35694354 56588610 59490590 77337767 89235885 154675534 178471770 232013301 386688835 464026602 773377670 1160066505 2320133010