Search a number
-
+
10120049346 = 2311241636241
BaseRepresentation
bin10010110110011001…
…11011001011000010
3222010021122202212110
421123030323023002
5131211213034341
64352111440150
7505533000021
oct113314731302
928107582773
1010120049346
11432355a950
121b65226056
13c538309a4
146c00928b8
153e36c3216
hex25b33b2c2

10120049346 has 32 divisors (see below), whose sum is σ = 22171761216. Its totient is φ = 3053952000.

The previous prime is 10120049327. The next prime is 10120049347. The reversal of 10120049346 is 64394002101.

10120049346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10120049347) by changing a digit.

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, 302215 + ... + 334026.

It is an arithmetic number, because the mean of its divisors is an integer number (692867538).

Almost surely, 210120049346 is an apocalyptic number.

10120049346 is an abundant number, since it is smaller than the sum of its proper divisors (12051711870).

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

10120049346 is a wasteful number, since it uses less digits than its factorization.

10120049346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636498.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 10120049346 in words is "ten billion, one hundred twenty million, forty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 636241 1272482 1908723 3817446 6998651 13997302 20995953 41991906 153334081 306668162 460002243 920004486 1686674891 3373349782 5060024673 10120049346