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1332323301320 = 235117148138861
BaseRepresentation
bin10011011000110100101…
…010000011011111001000
311201100221220100021212022
4103120310222003133020
5133312044231120240
62500021052104012
7165154133130434
oct23306452033710
94640856307768
101332323301320
11474042851960
12196268465008
139883990263b
14486b03a99c4
15249cb9c49b5
hex13634a837c8

1332323301320 has 128 divisors (see below), whose sum is σ = 3317371303680. Its totient is φ = 477504384000.

The previous prime is 1332323301293. The next prime is 1332323301343. The reversal of 1332323301320 is 231033232331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1332323301320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150353690 + ... + 150362550.

It is an arithmetic number, because the mean of its divisors is an integer number (25916963310).

Almost surely, 21332323301320 is an apocalyptic number.

1332323301320 is a gapful number since it is divisible by the number (10) 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 1332323301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658685651840).

1332323301320 is an abundant number, since it is smaller than the sum of its proper divisors (1985048002360).

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

1332323301320 is a wasteful number, since it uses less digits than its factorization.

1332323301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 1332323301320 its reverse (231033232331), we get a palindrome (1563356533651).

The spelling of 1332323301320 in words is "one trillion, three hundred thirty-two billion, three hundred twenty-three million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 4813 6248 7810 8861 9626 15620 17722 19252 24065 31240 35444 38504 44305 48130 52943 70888 88610 96260 97471 105886 177220 192520 194942 211772 264715 341723 354440 389884 423544 487355 529430 629131 683446 779768 974710 1058860 1258262 1366892 1708615 1949420 2117720 2516524 2733784 3145655 3417230 3758953 3898840 5033048 6291310 6834460 6920441 7517906 12582620 13668920 13840882 15035812 18794765 25165240 27681764 30071624 34602205 37589530 42647993 55363528 69204410 75179060 85295986 138408820 150358120 170591972 213239965 276817640 341183944 426479930 469127923 852959860 938255846 1705919720 1876511692 2345639615 3028007503 3753023384 4691279230 6056015006 9382558460 12112030012 15140037515 18765116920 24224060024 30280075030 33308082533 60560150060 66616165066 121120300120 133232330132 166540412665 266464660264 333080825330 666161650660 1332323301320