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107254870353 = 3242292817973
BaseRepresentation
bin110001111100011100…
…0110111000101010001
3101020211202221221102200
41203320320313011101
53224124221322403
6121134444033413
710514606233011
oct1437070670521
9336752857380
10107254870353
114153963a624
1218953532869
13a163871b37
1452967a3c41
152bcb0eaca3
hex18f8e37151

107254870353 has 12 divisors (see below), whose sum is σ = 154960390260. Its totient is φ = 71486313696.

The previous prime is 107254870339. The next prime is 107254870417. The reversal of 107254870353 is 353078452701.

107254870353 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 548 + 70 + 35 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105889715649 + 1365154704 = 325407^2 + 36948^2 .

It is not a de Polignac number, because 107254870353 - 225 = 107221315921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107254870299 and 107254870308.

It is not an unprimeable number, because it can be changed into a prime (107254820353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370926 + ... + 1447047.

It is an arithmetic number, because the mean of its divisors is an integer number (12913365855).

Almost surely, 2107254870353 is an apocalyptic number.

It is an amenable number.

107254870353 is a deficient number, since it is larger than the sum of its proper divisors (47705519907).

107254870353 is a wasteful number, since it uses less digits than its factorization.

107254870353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822208 (or 2822205 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 107254870353 in words is "one hundred seven billion, two hundred fifty-four million, eight hundred seventy thousand, three hundred fifty-three".

Divisors: 1 3 9 4229 12687 38061 2817973 8453919 25361757 11917207817 35751623451 107254870353