Search a number
-
+
1332332320332 = 2231341379549623
BaseRepresentation
bin10011011000110101001…
…100011101011001001100
311201100222112022111121210
4103120311030131121030
5133312104033222312
62500022013254420
7165154302603066
oct23306514353114
94640875274553
101332332320332
11474047951a92
1219626b494410
139883b73c830
14486b1676736
15249cc6a6e3c
hex1363531d64c

1332332320332 has 96 divisors (see below), whose sum is σ = 3438623623680. Its totient is φ = 398893662720.

The previous prime is 1332332320331. The next prime is 1332332320369. The reversal of 1332332320332 is 2330232332331.

It is a self number, because there is not a number n which added to its sum of digits gives 1332332320332.

It is not an unprimeable number, because it can be changed into a prime (1332332320331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149273 + ... + 2698895.

It is an arithmetic number, because the mean of its divisors is an integer number (35818996080).

Almost surely, 21332332320332 is an apocalyptic number.

1332332320332 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 1332332320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719311811840).

1332332320332 is an abundant number, since it is smaller than the sum of its proper divisors (2106291303348).

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

1332332320332 is a wasteful number, since it uses less digits than its factorization.

1332332320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550063 (or 550061 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 1332332320332 its reverse (2330232332331), we get a palindrome (3662564652663).

The spelling of 1332332320332 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-two million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 379 492 533 758 1066 1137 1516 1599 2132 2274 3198 4548 4927 6396 9854 14781 15539 19708 29562 31078 46617 59124 62156 93234 186468 202007 404014 549623 606021 808028 1099246 1212042 1648869 2198492 2424084 3297738 6595476 7145099 14290198 21435297 22534543 28580396 42870594 45069086 67603629 85741188 90138172 135207258 208307117 270414516 292949059 416614234 585898118 624921351 833228468 878847177 1171796236 1249842702 1757694354 2499685404 2707992521 3515388708 5415985042 8123977563 8540591797 10831970084 16247955126 17081183594 25621775391 32495910252 34162367188 51243550782 102487101564 111027693361 222055386722 333083080083 444110773444 666166160166 1332332320332