Search a number
-
+
2002431123 = 327112889511
BaseRepresentation
bin111011101011010…
…1010110010010011
312011112221001002200
41313112222302103
513100110243443
6530411014243
7100423245420
oct16726526223
95145831080
102002431123
11938358160
1247a73a383
1325bb18ab4
1414dd2cd47
15babe2dd3
hex775aac93

2002431123 has 24 divisors (see below), whose sum is σ = 3606110976. Its totient is φ = 1040223600.

The previous prime is 2002431113. The next prime is 2002431127. The reversal of 2002431123 is 3211342002.

It is not a de Polignac number, because 2002431123 - 218 = 2002168979 is a prime.

It is a super-2 number, since 2×20024311232 = 8019460804718082258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002431096 and 2002431105.

It is not an unprimeable number, because it can be changed into a prime (2002431127) 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, 1444063 + ... + 1445448.

It is an arithmetic number, because the mean of its divisors is an integer number (150254624).

Almost surely, 22002431123 is an apocalyptic number.

2002431123 is a deficient number, since it is larger than the sum of its proper divisors (1603679853).

2002431123 is a wasteful number, since it uses less digits than its factorization.

2002431123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889535 (or 2889532 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002431123 is about 44748.5320764827. The cubic root of 2002431123 is about 1260.4313470253.

Adding to 2002431123 its reverse (3211342002), we get a palindrome (5213773125).

The spelling of 2002431123 in words is "two billion, two million, four hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2889511 8668533 20226577 26005599 31784621 60679731 95353863 182039193 222492347 286061589 667477041 2002431123