Search a number
-
+
1311302112 = 25313659397
BaseRepresentation
bin100111000101000…
…1110000111100000
310101101110001022220
41032022032013200
510141143131422
6334041431040
744331612141
oct11612160740
93341401286
101311302112
1161321775a
1230719b480
1317b894413
14c6223ac8
157a1c3e5c
hex4e28e1e0

1311302112 has 24 divisors (see below), whose sum is σ = 3442168296. Its totient is φ = 437100672.

The previous prime is 1311302099. The next prime is 1311302117. The reversal of 1311302112 is 2112031131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1311302091 and 1311302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311302117) 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 3 ways as a sum of consecutive naturals, for example, 6829603 + ... + 6829794.

It is an arithmetic number, because the mean of its divisors is an integer number (143423679).

Almost surely, 21311302112 is an apocalyptic number.

1311302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311302112 is an abundant number, since it is smaller than the sum of its proper divisors (2130866184).

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

1311302112 is a wasteful number, since it uses less digits than its factorization.

1311302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659410 (or 13659402 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1311302112 is about 36211.9056665070. The cubic root of 1311302112 is about 1094.5465932099.

Adding to 1311302112 its reverse (2112031131), we get a palindrome (3423333243).

The spelling of 1311302112 in words is "one billion, three hundred eleven million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13659397 27318794 40978191 54637588 81956382 109275176 163912764 218550352 327825528 437100704 655651056 1311302112