Search a number
-
+
1331132550 = 2352116712041
BaseRepresentation
bin100111101010111…
…0111100010000110
310102202202112120120
41033111313202012
510211232220200
6340030442410
744662303626
oct11725674206
93382675516
101331132550
11623431650
12311963406
13182a185c7
14c8b06886
157bcde9a0
hex4f577886

1331132550 has 96 divisors (see below), whose sum is σ = 3655373184. Its totient is φ = 317856000.

The previous prime is 1331132501. The next prime is 1331132629. The reversal of 1331132550 is 552311331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331132550.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104530 + ... + 116570.

It is an arithmetic number, because the mean of its divisors is an integer number (38076804).

Almost surely, 21331132550 is an apocalyptic number.

1331132550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331132550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827686592).

1331132550 is an abundant number, since it is smaller than the sum of its proper divisors (2324240634).

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

1331132550 is a wasteful number, since it uses less digits than its factorization.

1331132550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12134 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1331132550 is about 36484.6892545353. The cubic root of 1331132550 is about 1100.0365139394.

Adding to 1331132550 its reverse (552311331), we get a palindrome (1883443881).

The spelling of 1331132550 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 67 75 110 134 150 165 201 275 330 335 402 550 670 737 825 1005 1474 1650 1675 2010 2211 3350 3685 4422 5025 7370 10050 11055 12041 18425 22110 24082 36123 36850 55275 60205 72246 110550 120410 132451 180615 264902 301025 361230 397353 602050 662255 794706 806747 903075 1324510 1613494 1806150 1986765 2420241 3311275 3973530 4033735 4840482 6622550 8067470 8874217 9933825 12101205 17748434 19867650 20168675 24202410 26622651 40337350 44371085 53245302 60506025 88742170 121012050 133113255 221855425 266226510 443710850 665566275 1331132550