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103012010320 = 2451287650129
BaseRepresentation
bin101111111101111111…
…1101000100101010000
3100211220002021022122111
41133323333220211100
53141432033312240
6115153440515104
710304506432462
oct1377377504520
9324802238574
10103012010320
113a76165a02a
1217b6a61ba94
13993883a87b
144db30b2132
152a2d8a21ea
hex17fbfe8950

103012010320 has 20 divisors (see below), whose sum is σ = 239502924180. Its totient is φ = 41204804096.

The previous prime is 103012010293. The next prime is 103012010329. The reversal of 103012010320 is 23010210301.

It can be written as a sum of positive squares in 2 ways, for example, as 24437192976 + 78574817344 = 156324^2 + 280312^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1030120103202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103012010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012010329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643824985 + ... + 643825144.

It is an arithmetic number, because the mean of its divisors is an integer number (11975146209).

Almost surely, 2103012010320 is an apocalyptic number.

103012010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012010320 is an abundant number, since it is smaller than the sum of its proper divisors (136490913860).

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

103012010320 is a wasteful number, since it uses less digits than its factorization.

103012010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287650142 (or 1287650136 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103012010320 its reverse (23010210301), we get a palindrome (126022220621).

The spelling of 103012010320 in words is "one hundred three billion, twelve million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1287650129 2575300258 5150600516 6438250645 10301201032 12876501290 20602402064 25753002580 51506005160 103012010320