Search a number
-
+
1331321022 = 23443383499
BaseRepresentation
bin100111101011010…
…0101100010111110
310102210010010010000
41033112211202332
510211304233042
6340034455130
744664020253
oct11726454276
93383103100
101331321022
11623550209
12311a344a6
13182a83325
14c8b5542a
157bd2a74c
hex4f5a58be

1331321022 has 80 divisors (see below), whose sum is σ = 3066624000. Its totient is φ = 431455248.

The previous prime is 1331321003. The next prime is 1331321027. The reversal of 1331321022 is 2201231331.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331320986 and 1331321004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331321027) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2667729 + ... + 2668227.

It is an arithmetic number, because the mean of its divisors is an integer number (38332800).

Almost surely, 21331321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533312000).

1331321022 is an abundant number, since it is smaller than the sum of its proper divisors (1735302978).

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

1331321022 is a wasteful number, since it uses less digits than its factorization.

1331321022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331321022 is about 36487.2720547864. The cubic root of 1331321022 is about 1100.0884287037.

Adding to 1331321022 its reverse (2201231331), we get a palindrome (3532552353).

The spelling of 1331321022 in words is "one billion, three hundred thirty-one million, three hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 383 387 499 766 774 998 1149 1161 1497 2298 2322 2994 3447 3483 4491 6894 6966 8982 10341 13473 16469 20682 21457 26946 31023 32938 40419 42914 49407 62046 64371 80838 98814 128742 148221 191117 193113 296442 382234 386226 444663 573351 579339 889326 1146702 1158678 1333989 1720053 1738017 2667978 3440106 3476034 5160159 8218031 10320318 15480477 16436062 24654093 30960954 49308186 73962279 147924558 221886837 443773674 665660511 1331321022