Search a number
-
+
1311327996 = 2231133130013
BaseRepresentation
bin100111000101001…
…0100011011111100
310101101111100211120
41032022110123330
510141144443441
6334042150540
744332050456
oct11612243374
93341440746
101311327996
11613235150
123071b2450
1317b8a3134
14c622d2d6
157a1cb966
hex4e2946fc

1311327996 has 48 divisors (see below), whose sum is σ = 3348121728. Its totient is φ = 396158400.

The previous prime is 1311327977. The next prime is 1311328001. The reversal of 1311327996 is 6997231131.

1311327996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13113279962 = 3439162226186752032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28686 + ... + 58698.

It is an arithmetic number, because the mean of its divisors is an integer number (69752536).

Almost surely, 21311327996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311327996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674060864).

1311327996 is an abundant number, since it is smaller than the sum of its proper divisors (2036793732).

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

1311327996 is a wasteful number, since it uses less digits than its factorization.

1311327996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30362 (or 30360 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 1311327996 is about 36212.2630610129. The cubic root of 1311327996 is about 1094.5537949720.

It can be divided in two parts, 131132 and 7996, that added together give a triangular number (139128 = T527).

The spelling of 1311327996 in words is "one billion, three hundred eleven million, three hundred twenty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1986 3641 3972 7282 10923 14564 21846 30013 43692 60026 90039 120052 180078 330143 360156 660286 990429 1320572 1980858 3961716 9934303 19868606 29802909 39737212 59605818 109277333 119211636 218554666 327831999 437109332 655663998 1311327996