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10320001320 = 2335461186551
BaseRepresentation
bin10011001110001111…
…01011100100101000
3222122012220101102010
421213013223210220
5132113410020240
64424013235520
7513511364256
oct114707534450
928565811363
1010320001320
11441640a812
122000192ba0
13c8609c175
146dc8615d6
1540601d280
hex2671eb928

10320001320 has 64 divisors (see below), whose sum is σ = 31027328640. Its totient is φ = 2746016000.

The previous prime is 10320001303. The next prime is 10320001327. The reversal of 10320001320 is 2310002301.

It is a happy number.

10320001320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10320001296 and 10320001305.

It is not an unprimeable number, because it can be changed into a prime (10320001327) 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, 37956 + ... + 148595.

It is an arithmetic number, because the mean of its divisors is an integer number (484802010).

Almost surely, 210320001320 is an apocalyptic number.

10320001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320001320 is an abundant number, since it is smaller than the sum of its proper divisors (20707327320).

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

10320001320 is a wasteful number, since it uses less digits than its factorization.

10320001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187026 (or 187022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10320001320 its reverse (2310002301), we get a palindrome (12630003621).

The spelling of 10320001320 in words is "ten billion, three hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1383 1844 2305 2766 3688 4610 5532 6915 9220 11064 13830 18440 27660 55320 186551 373102 559653 746204 932755 1119306 1492408 1865510 2238612 2798265 3731020 4477224 5596530 7462040 11193060 22386120 86000011 172000022 258000033 344000044 430000055 516000066 688000088 860000110 1032000132 1290000165 1720000220 2064000264 2580000330 3440000440 5160000660 10320001320