Search a number
-
+
10000310312320 = 27515625484863
BaseRepresentation
bin1001000110000110000011…
…1100011001110110000000
31022102000112211010202022021
42101201200330121312000
52302321113414443240
633134025032051224
72051333004064036
oct221414074316600
938360484122267
1010000310312320
113206120511289
121156163833b14
13577043527093
14268036428556
151251e72dc54a
hex91860f19d80

10000310312320 has 32 divisors (see below), whose sum is σ = 23906991841920. Its totient is φ = 4000124124672.

The previous prime is 10000310312309. The next prime is 10000310312327. The reversal of 10000310312320 is 2321301300001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10000310312294 and 10000310312303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000310312327) 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 3 ways as a sum of consecutive naturals, for example, 7812741792 + ... + 7812743071.

It is an arithmetic number, because the mean of its divisors is an integer number (747093495060).

Almost surely, 210000310312320 is an apocalyptic number.

10000310312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000310312320 is an abundant number, since it is smaller than the sum of its proper divisors (13906681529600).

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

10000310312320 is an equidigital number, since it uses as much as digits as its factorization.

10000310312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625484882 (or 15625484870 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10000310312320 its reverse (2321301300001), we get a palindrome (12321611612321).

The spelling of 10000310312320 in words is "ten trillion, three hundred ten million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 15625484863 31250969726 62501939452 78127424315 125003878904 156254848630 250007757808 312509697260 500015515616 625019394520 1000031031232 1250038789040 2000062062464 2500077578080 5000155156160 10000310312320