Search a number
-
+
10753141061 = 136171331577
BaseRepresentation
bin10100000001110111…
…11110100101000101
31000202101221011102202
422000323332211011
5134010301003221
64535005044245
7530321122325
oct120073764505
930671834382
1010753141061
114618960043
122101256685
131024a44880
147401b1285
1542e07ad0b
hex280efe945

10753141061 has 32 divisors (see below), whose sum is σ = 11992732416. Its totient is φ = 9580032000.

The previous prime is 10753141051. The next prime is 10753141073. The reversal of 10753141061 is 16014135701.

It is a happy number.

10753141061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10753141061 - 26 = 10753140997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753141051) 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 31 ways as a sum of consecutive naturals, for example, 18636005 + ... + 18636581.

It is an arithmetic number, because the mean of its divisors is an integer number (374772888).

Almost surely, 210753141061 is an apocalyptic number.

It is an amenable number.

10753141061 is a deficient number, since it is larger than the sum of its proper divisors (1239591355).

10753141061 is a wasteful number, since it uses less digits than its factorization.

10753141061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053.

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 10753141061 its reverse (16014135701), we get a palindrome (26767276762).

The spelling of 10753141061 in words is "ten billion, seven hundred fifty-three million, one hundred forty-one thousand, sixty-one".

Divisors: 1 13 61 71 331 577 793 923 4303 4331 7501 20191 23501 35197 40967 56303 190987 262483 305513 457561 532571 1433561 2482831 2498987 11650207 13560077 18636293 32486831 151452691 176281001 827164697 10753141061