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12341351000 = 2353111121941
BaseRepresentation
bin10110111111001101…
…00001001001011000
31011212002102120220002
423133212201021120
5200233341213000
65400341552132
7614554516106
oct133746411130
934762376802
1012341351000
115263409740
122485115648
131218ab0074
148510b6c76
154c36eb8d5
hex2df9a1258

12341351000 has 64 divisors (see below), whose sum is σ = 31504131360. Its totient is φ = 4487760000.

The previous prime is 12341350981. The next prime is 12341351047. The reversal of 12341351000 is 15314321.

12341351000 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 (20).

It is a congruent number.

It is an unprimeable number.

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, 549971 + ... + 571970.

Almost surely, 212341351000 is an apocalyptic number.

12341351000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341351000 is an abundant number, since it is smaller than the sum of its proper divisors (19162780360).

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

12341351000 is a wasteful number, since it uses less digits than its factorization.

12341351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121973 (or 1121959 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12341351000 its reverse (15314321), we get a palindrome (12356665321).

The spelling of 12341351000 in words is "twelve billion, three hundred forty-one million, three hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1121941 2243882 4487764 5609705 8975528 11219410 12341351 22438820 24682702 28048525 44877640 49365404 56097050 61706755 98730808 112194100 123413510 140242625 224388200 246827020 280485250 308533775 493654040 560970500 617067550 1121941000 1234135100 1542668875 2468270200 3085337750 6170675500 12341351000