Search a number
-
+
10103604345 = 325397565553
BaseRepresentation
bin10010110100011100…
…01100010001111001
3222002010201021120100
421122032030101321
5131143010314340
64350323150013
7505243135302
oct113216142171
928063637510
1010103604345
11431524853a
121b5b815309
13c502c3713
146bbc117a9
153e2025830
hex25a38c479

10103604345 has 24 divisors (see below), whose sum is σ = 17557058376. Its totient is φ = 5375006208.

The previous prime is 10103604341. The next prime is 10103604403. The reversal of 10103604345 is 54340630101.

10103604345 is a `hidden beast` number, since 1 + 0 + 10 + 3 + 604 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5118114681 + 4985489664 = 71541^2 + 70608^2 .

It is not a de Polignac number, because 10103604345 - 22 = 10103604341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10103604341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264912 + ... + 300641.

It is an arithmetic number, because the mean of its divisors is an integer number (731544099).

Almost surely, 210103604345 is an apocalyptic number.

10103604345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10103604345 is a deficient number, since it is larger than the sum of its proper divisors (7453454031).

10103604345 is a wasteful number, since it uses less digits than its factorization.

10103604345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565961 (or 565958 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10103604345 in words is "ten billion, one hundred three million, six hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 397 1191 1985 3573 5955 17865 565553 1696659 2827765 5089977 8483295 25449885 224524541 673573623 1122622705 2020720869 3367868115 10103604345