Search a number
-
+
3013102320 = 2435294761151
BaseRepresentation
bin1011001110011000…
…0100101011110000
321202222200110100020
42303212010223300
522132323233240
61214553123440
7134444642604
oct26346045360
97688613306
103013102320
1113068aa408
127010b9580
133903211a7
14208257504
151297d10d0
hexb3984af0

3013102320 has 320 divisors, whose sum is σ = 10096496640. Its totient is φ = 741888000.

The previous prime is 3013102307. The next prime is 3013102333. The reversal of 3013102320 is 232013103.

It is an interprime number because it is at equal distance from previous prime (3013102307) and next prime (3013102333).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3013102320.

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, 19954245 + ... + 19954395.

It is an arithmetic number, because the mean of its divisors is an integer number (31551552).

Almost surely, 23013102320 is an apocalyptic number.

3013102320 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 3013102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048248320).

3013102320 is an abundant number, since it is smaller than the sum of its proper divisors (7083394320).

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

3013102320 is a wasteful number, since it uses less digits than its factorization.

3013102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

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

The square root of 3013102320 is about 54891.7327108555. The cubic root of 3013102320 is about 1444.3461671641.

Adding to 3013102320 its reverse (232013103), we get a palindrome (3245115423).

The spelling of 3013102320 in words is "three billion, thirteen million, one hundred two thousand, three hundred twenty".