Search a number
-
+
1321442010 = 232578532459
BaseRepresentation
bin100111011000011…
…1001101011011010
310102002112012122200
41032300321223122
510201242121020
6335043031030
744514033420
oct11660715332
93362465580
101321442010
11618a12a39
1230a66b476
13180a04865
14c7703110
157b028590
hex4ec39ada

1321442010 has 96 divisors (see below), whose sum is σ = 3932772480. Its totient is φ = 301567104.

The previous prime is 1321442009. The next prime is 1321442029. The reversal of 1321442010 is 102441231.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 536161 + ... + 538619.

It is an arithmetic number, because the mean of its divisors is an integer number (40966380).

Almost surely, 21321442010 is an apocalyptic number.

1321442010 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 1321442010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966386240).

1321442010 is an abundant number, since it is smaller than the sum of its proper divisors (2611330470).

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

1321442010 is a wasteful number, since it uses less digits than its factorization.

1321442010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1321442010 is about 36351.6438417852. The cubic root of 1321442010 is about 1097.3606169297.

Adding to 1321442010 its reverse (102441231), we get a palindrome (1423883241).

The spelling of 1321442010 in words is "one billion, three hundred twenty-one million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 853 1706 2459 2559 4265 4918 5118 5971 7377 7677 8530 11942 12295 12795 14754 15354 17213 17913 22131 24590 25590 29855 34426 35826 36885 38385 44262 51639 53739 59710 73770 76770 86065 89565 103278 107478 110655 154917 172130 179130 221310 258195 268695 309834 516390 537390 774585 1549170 2097527 4195054 6292581 10487635 12585162 14682689 18877743 20975270 29365378 31462905 37755486 44048067 62925810 73413445 88096134 94388715 132144201 146826890 188777430 220240335 264288402 440480670 660721005 1321442010