Search a number
-
+
1323320112 = 243329531993
BaseRepresentation
bin100111011100000…
…0100001100110000
310102020001121221000
41032320010030300
510202232220422
6335151202000
744536015062
oct11670041460
93366047830
101323320112
11619a85a94
1230b216300
1318121166a
14c7a71732
157b299cac
hex4ee04330

1323320112 has 160 divisors (see below), whose sum is σ = 4005547200. Its totient is φ = 417650688.

The previous prime is 1323320101. The next prime is 1323320147. The reversal of 1323320112 is 2110233231.

It is a super-2 number, since 2×13233201122 = 3502352237647385088, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662988 + ... + 664980.

It is an arithmetic number, because the mean of its divisors is an integer number (25034670).

Almost surely, 21323320112 is an apocalyptic number.

1323320112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002773600).

1323320112 is an abundant number, since it is smaller than the sum of its proper divisors (2682227088).

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

1323320112 is a wasteful number, since it uses less digits than its factorization.

1323320112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2080 counting only the distinct ones).

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

The square root of 1323320112 is about 36377.4670915939. The cubic root of 1323320112 is about 1097.8802461290.

Adding to 1323320112 its reverse (2110233231), we get a palindrome (3433553343).

The spelling of 1323320112 in words is "one billion, three hundred twenty-three million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 106 108 116 144 159 174 212 216 232 261 318 348 424 432 464 477 522 636 696 783 848 954 1044 1272 1392 1431 1537 1566 1908 1993 2088 2544 2862 3074 3132 3816 3986 4176 4611 5724 5979 6148 6264 7632 7972 9222 11448 11958 12296 12528 13833 15944 17937 18444 22896 23916 24592 27666 31888 35874 36888 41499 47832 53811 55332 57797 71748 73776 82998 95664 105629 107622 110664 115594 143496 165996 173391 211258 215244 221328 231188 286992 316887 331992 346782 422516 430488 462376 520173 633774 663984 693564 845032 860976 924752 950661 1040346 1267548 1387128 1560519 1690064 1901322 2080692 2535096 2774256 2851983 3063241 3121038 3802644 4161384 5070192 5703966 6126482 6242076 7605288 8322768 9189723 11407932 12252964 12484152 15210576 18379446 22815864 24505928 24968304 27569169 36758892 45631728 49011856 55138338 73517784 82707507 110276676 147035568 165415014 220553352 330830028 441106704 661660056 1323320112