Search a number
-
+
26122131 = 32719139157
BaseRepresentation
bin110001110100…
…1011110010011
31211011010211100
41203221132103
523141402011
62331515443
7435014550
oct143513623
954133740
1026122131
1113821a42
1288b8b83
135547ba9
14367da27
15245ed56
hex18e9793

26122131 has 48 divisors (see below), whose sum is σ = 46009600. Its totient is φ = 13950144.

The previous prime is 26122079. The next prime is 26122141. The reversal of 26122131 is 13122162.

26122131 = 2353 + 2363.

26122131 is a `hidden beast` number, since 2 + 612 + 21 + 31 = 666.

It is not a de Polignac number, because 26122131 - 29 = 26121619 is a prime.

It is a super-2 number, since 2×261221312 = 1364731455962322, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 26122131 = 1073 + 2923 = 2353 + 2363.

It is not an unprimeable number, because it can be changed into a prime (26122141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166305 + ... + 166461.

Almost surely, 226122131 is an apocalyptic number.

26122131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26122131 is a deficient number, since it is larger than the sum of its proper divisors (19887469).

26122131 is a wasteful number, since it uses less digits than its factorization.

26122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 26122131 is about 5110.9814126056. The cubic root of 26122131 is about 296.7127447400.

Adding to 26122131 its reverse (13122162), we get a palindrome (39244293).

The spelling of 26122131 in words is "twenty-six million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 139 157 171 399 417 471 973 1099 1197 1251 1413 2641 2919 2983 3297 7923 8757 8949 9891 18487 20881 21823 23769 26847 55461 62643 65469 152761 166383 187929 196407 414637 458283 1243911 1374849 2902459 3731733 8707377 26122131