Search a number
-
+
1300242012 = 223373079539
BaseRepresentation
bin100110110000000…
…0001111001011100
310100121122010201120
41031200001321130
510130330221022
6333004410540
744135606016
oct11540017134
93317563646
101300242012
11607a53083
12303546a50
131794c1194
14c49851b6
157923bd5c
hex4d801e5c

1300242012 has 48 divisors (see below), whose sum is σ = 3126372480. Its totient is φ = 420282432.

The previous prime is 1300241993. The next prime is 1300242037. The reversal of 1300242012 is 2102420031.

It is a junction number, because it is equal to n+sod(n) for n = 1300241982 and 1300242000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131539 + ... + 141077.

It is an arithmetic number, because the mean of its divisors is an integer number (65132760).

Almost surely, 21300242012 is an apocalyptic number.

1300242012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300242012 is an abundant number, since it is smaller than the sum of its proper divisors (1826130468).

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

1300242012 is a wasteful number, since it uses less digits than its factorization.

1300242012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1300242012 is about 36058.8687010561. The cubic root of 1300242012 is about 1091.4606045446.

Adding to 1300242012 its reverse (2102420031), we get a palindrome (3402662043).

The spelling of 1300242012 in words is "one billion, three hundred million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 307 444 614 921 1228 1842 3684 9539 11359 19078 22718 28617 34077 38156 45436 57234 68154 114468 136308 352943 705886 1058829 1411772 2117658 2928473 4235316 5856946 8785419 11713892 17570838 35141676 108353501 216707002 325060503 433414004 650121006 1300242012