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10000343120 = 245125004289
BaseRepresentation
bin10010101000001000…
…10010000001010000
3221210221102001210112
421110010102001100
5130440041434440
64332154020452
7502550341205
oct112404220120
927727361715
1010000343120
114271a29889
121b31117728
13c34aaa6c1
146ac211cac
153d7e29965
hex254112050

10000343120 has 20 divisors (see below), whose sum is σ = 23250797940. Its totient is φ = 4000137216.

The previous prime is 10000343099. The next prime is 10000343123. The reversal of 10000343120 is 2134300001.

It can be written as a sum of positive squares in 2 ways, for example, as 7233162304 + 2767180816 = 85048^2 + 52604^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10000343095 and 10000343104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000343123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62502065 + ... + 62502224.

It is an arithmetic number, because the mean of its divisors is an integer number (1162539897).

Almost surely, 210000343120 is an apocalyptic number.

10000343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000343120 is an abundant number, since it is smaller than the sum of its proper divisors (13250454820).

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

10000343120 is a wasteful number, since it uses less digits than its factorization.

10000343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125004302 (or 125004296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10000343120 its reverse (2134300001), we get a palindrome (12134643121).

The spelling of 10000343120 in words is "ten billion, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 125004289 250008578 500017156 625021445 1000034312 1250042890 2000068624 2500085780 5000171560 10000343120