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1330313322 = 2313151179631
BaseRepresentation
bin100111101001010…
…1111100001101010
310102201012220210210
41033102233201222
510211030011242
6340001121550
744652322332
oct11722574152
93381186723
101330313322
11622a220a8
123116292b6
131827bc760
14c89720c2
157bbcbd9c
hex4f4af86a

1330313322 has 64 divisors (see below), whose sum is σ = 2904975360. Its totient is φ = 403704000.

The previous prime is 1330313321. The next prime is 1330313339. The reversal of 1330313322 is 2233130331.

It is not an unprimeable number, because it can be changed into a prime (1330313321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2107947 + ... + 2108577.

It is an arithmetic number, because the mean of its divisors is an integer number (45390240).

Almost surely, 21330313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452487680).

1330313322 is an abundant number, since it is smaller than the sum of its proper divisors (1574662038).

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

1330313322 is a wasteful number, since it uses less digits than its factorization.

1330313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1330313322 is about 36473.4605158326. The cubic root of 1330313322 is about 1099.8107999663.

Adding to 1330313322 its reverse (2233130331), we get a palindrome (3563443653).

The spelling of 1330313322 in words is "one billion, three hundred thirty million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 151 179 302 358 453 537 631 906 1074 1262 1893 1963 2327 3786 3926 4654 5889 6981 8203 11778 13962 16406 24609 27029 49218 54058 81087 95281 112949 162174 190562 225898 285843 338847 351377 571686 677694 702754 1054131 1238653 1468337 2108262 2477306 2936674 3715959 4405011 7431918 8810022 17055299 34110598 51165897 102331794 221718887 443437774 665156661 1330313322