Search a number
-
+
1332201200320 = 26543982711467
BaseRepresentation
bin10011011000101101011…
…000010001101011000000
311201100122101120220210001
4103120231120101223000
5133311322001402240
62500001011045344
7165151121236024
oct23305530215300
94640571526701
101332201200320
11473a8a935641
121962335a0854
139881a521323
144869c0a4384
15249c0e0689a
hex1362d611ac0

1332201200320 has 112 divisors (see below), whose sum is σ = 3183652581120. Its totient is φ = 530977434624.

The previous prime is 1332201200287. The next prime is 1332201200327. The reversal of 1332201200320 is 230021022331.

It is not an unprimeable number, because it can be changed into a prime (1332201200327) 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 15 ways as a sum of consecutive naturals, for example, 116171227 + ... + 116182693.

Almost surely, 21332201200320 is an apocalyptic number.

1332201200320 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 1332201200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591826290560).

1332201200320 is an abundant number, since it is smaller than the sum of its proper divisors (1851451380800).

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

1332201200320 is a wasteful number, since it uses less digits than its factorization.

1332201200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1332201200320 its reverse (230021022331), we get a palindrome (1562222222651).

The spelling of 1332201200320 in words is "one trillion, three hundred thirty-two billion, two hundred one million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 439 827 878 1654 1756 2195 3308 3512 4135 4390 6616 7024 8270 8780 11467 13232 14048 16540 17560 22934 26464 28096 33080 35120 45868 52928 57335 66160 70240 91736 114670 132320 140480 183472 229340 264640 363053 366944 458680 726106 733888 917360 1452212 1815265 1834720 2904424 3630530 3669440 5034013 5808848 7261060 9483209 10068026 11617696 14522120 18966418 20136052 23235392 25170065 29044240 37932836 40272104 47416045 50340130 58088480 75865672 80544208 94832090 100680260 116176960 151731344 161088416 189664180 201360520 303462688 322176832 379328360 402721040 606925376 758656720 805442080 1517313440 1610884160 3034626880 4163128751 8326257502 16652515004 20815643755 33305030008 41631287510 66610060016 83262575020 133220120032 166525150040 266440240064 333050300080 666100600160 1332201200320