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1320421015332 = 22324728113812011
BaseRepresentation
bin10011001101101111001…
…110011011111100100100
311200020020102002111221100
4103031233032123330210
5133113210234442312
62450332032520100
7164253156305256
oct23155716337444
94606212074840
101320421015332
11469a95270271
12193aa63b0030
1397690a90c73
1447ca1745cd6
1524531b065dc
hex1336f39bf24

1320421015332 has 144 divisors (see below), whose sum is σ = 3425056637184. Its totient is φ = 428718528000.

The previous prime is 1320421015261. The next prime is 1320421015367. The reversal of 1320421015332 is 2335101240231.

1320421015332 is a `hidden beast` number, since 1 + 3 + 20 + 4 + 2 + 101 + 533 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1320421015296 and 1320421015305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656598207 + ... + 656600217.

It is an arithmetic number, because the mean of its divisors is an integer number (23785115536).

Almost surely, 21320421015332 is an apocalyptic number.

1320421015332 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 1320421015332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712528318592).

1320421015332 is an abundant number, since it is smaller than the sum of its proper divisors (2104635621852).

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

1320421015332 is a wasteful number, since it uses less digits than its factorization.

1320421015332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1320421015332 its reverse (2335101240231), we get a palindrome (3655522255563).

The spelling of 1320421015332 in words is "one trillion, three hundred twenty billion, four hundred twenty-one million, fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 281 282 423 562 564 843 846 1124 1381 1686 1692 2011 2529 2762 3372 4022 4143 5058 5524 6033 8044 8286 10116 12066 12429 13207 16572 18099 24132 24858 26414 36198 39621 49716 52828 64907 72396 79242 94517 118863 129814 158484 189034 194721 237726 259628 283551 378068 388061 389442 475452 565091 567102 584163 776122 778884 850653 1130182 1134204 1164183 1168326 1552244 1695273 1701306 2260364 2328366 2336652 2777191 3390546 3402612 3492549 4656732 5085819 5554382 6781092 6985098 8331573 10171638 11108764 13970196 16663146 18238867 20343276 24994719 26559277 33326292 36477734 49989438 53118554 54716601 72955468 79677831 99978876 106237108 109433202 130527977 159355662 164149803 218866404 239033493 261055954 318711324 328299606 391583931 478066986 522111908 656599212 780390671 783167862 956133972 1174751793 1560781342 1566335724 2341172013 2349503586 3121562684 4682344026 4699007172 7023516039 9364688052 14047032078 28094064156 36678361537 73356723074 110035084611 146713446148 220070169222 330105253833 440140338444 660210507666 1320421015332