Search a number
-
+
1300303431 = 327531512579
BaseRepresentation
bin100110110000001…
…0000111001000111
310100121202020222100
41031200100321013
510130334202211
6333010003143
744136253050
oct11540207107
93317666870
101300303431
11607a95239
123035764b3
1317951311b
14c499d727
1579250156
hex4d810e47

1300303431 has 48 divisors (see below), whose sum is σ = 2202370560. Its totient is φ = 723902400.

The previous prime is 1300303409. The next prime is 1300303441. The reversal of 1300303431 is 1343030031.

It is not a de Polignac number, because 1300303431 - 211 = 1300301383 is a prime.

It is a super-2 number, since 2×13003034312 = 3381578025340743522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300303441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 502900 + ... + 505478.

It is an arithmetic number, because the mean of its divisors is an integer number (45882720).

Almost surely, 21300303431 is an apocalyptic number.

1300303431 is a deficient number, since it is larger than the sum of its proper divisors (902067129).

1300303431 is a wasteful number, since it uses less digits than its factorization.

1300303431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300303431 is about 36059.7203400137. The cubic root of 1300303431 is about 1091.4777899000.

Adding to 1300303431 its reverse (1343030031), we get a palindrome (2643333462).

The spelling of 1300303431 in words is "one billion, three hundred million, three hundred three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 53 63 151 159 371 453 477 1057 1113 1359 2579 3171 3339 7737 8003 9513 18053 23211 24009 54159 56021 72027 136687 162477 168063 389429 410061 504189 956809 1168287 1230183 2726003 2870427 3504861 8178009 8611281 20639737 24534027 61919211 144478159 185757633 433434477 1300303431