Search a number
-
+
125211141 = 32114367439
BaseRepresentation
bin1110111011010…
…01001000000101
322201121101101200
413131221020011
5224023224031
620231413113
73050164026
oct735511005
9281541350
10125211141
1164750a90
1235b24199
131cc2cb43
14128b4c4d
15aed48e6
hex7769205

125211141 has 48 divisors (see below), whose sum is σ = 205370880. Its totient is φ = 72848160.

The previous prime is 125211113. The next prime is 125211169. The reversal of 125211141 is 141112521.

125211141 is a `hidden beast` number, since 1 + 2 + 521 + 1 + 141 = 666.

It is an interprime number because it is at equal distance from previous prime (125211113) and next prime (125211169).

It is not a de Polignac number, because 125211141 - 217 = 125080069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125211181) 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 47 ways as a sum of consecutive naturals, for example, 285000 + ... + 285438.

It is an arithmetic number, because the mean of its divisors is an integer number (4278560).

Almost surely, 2125211141 is an apocalyptic number.

125211141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125211141 is a deficient number, since it is larger than the sum of its proper divisors (80159739).

125211141 is a wasteful number, since it uses less digits than its factorization.

125211141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 125211141 is about 11189.7784160367. The cubic root of 125211141 is about 500.2813629734.

Adding to 125211141 its reverse (141112521), we get a palindrome (266323662).

The spelling of 125211141 in words is "one hundred twenty-five million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 43 67 99 129 201 387 439 473 603 737 1317 1419 2211 2881 3951 4257 4829 6633 8643 14487 18877 25929 29413 31691 43461 56631 88239 95073 169893 207647 264717 285219 323543 622941 970629 1264759 1868823 2911887 3794277 11382831 13912349 41737047 125211141