Search a number
-
+
3135571010 = 2511213199337
BaseRepresentation
bin1011101011100101…
…0000010001000010
322002112010111210122
42322321100101002
522410201233020
61235050100242
7140462625305
oct27271202102
98075114718
103135571010
111369a47a00
1273611a682
133ac800980
1421a616b3c
15135423125
hexbae50442

3135571010 has 48 divisors (see below), whose sum is σ = 6681012408. Its totient is φ = 1052494080.

The previous prime is 3135571009. The next prime is 3135571013. The reversal of 3135571010 is 101755313.

It can be written as a sum of positive squares in 4 ways, for example, as 1449401041 + 1686169969 = 38071^2 + 41063^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3135571013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83939 + ... + 115398.

Almost surely, 23135571010 is an apocalyptic number.

3135571010 is an abundant number, since it is smaller than the sum of its proper divisors (3545441398).

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

3135571010 is a wasteful number, since it uses less digits than its factorization.

3135571010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199379 (or 199368 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 3135571010 is about 55996.1696011433. The cubic root of 3135571010 is about 1463.6555375320.

The spelling of 3135571010 in words is "three billion, one hundred thirty-five million, five hundred seventy-one thousand, ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7865 15730 199337 398674 996685 1993370 2192707 2591381 4385414 5182762 10963535 12956905 21927070 24119777 25913810 28505191 48239554 57010382 120598885 142525955 241197770 285051910 313557101 627114202 1567785505 3135571010