Search a number
-
+
3123010002 = 237243924197
BaseRepresentation
bin1011101000100101…
…0101100111010010
322001122111100100010
42322021111213102
522343442310002
61233520535350
7140251101300
oct27211254722
98048440303
103123010002
111362948702
12731a81556
133aa023518
14218aa7270
1513429146c
hexba2559d2

3123010002 has 48 divisors (see below), whose sum is σ = 7282630080. Its totient is φ = 890219232.

The previous prime is 3123009979. The next prime is 3123010003. The reversal of 3123010002 is 2000103213.

It is a happy number.

3123010002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3123010002.

It is not an unprimeable number, because it can be changed into a prime (3123010003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116968 + ... + 141164.

It is an arithmetic number, because the mean of its divisors is an integer number (151721460).

Almost surely, 23123010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641315040).

3123010002 is an abundant number, since it is smaller than the sum of its proper divisors (4159620078).

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

3123010002 is a wasteful number, since it uses less digits than its factorization.

3123010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24655 (or 24648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3123010002 is about 55883.8975197686. The cubic root of 3123010002 is about 1461.6984677719.

Adding to 3123010002 its reverse (2000103213), we get a palindrome (5123113215).

The spelling of 3123010002 in words is "three billion, one hundred twenty-three million, ten thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 439 878 1317 2634 3073 6146 9219 18438 21511 24197 43022 48394 64533 72591 129066 145182 169379 338758 508137 1016274 1185653 2371306 3556959 7113918 10622483 21244966 31867449 63734898 74357381 148714762 223072143 446144286 520501667 1041003334 1561505001 3123010002