Search a number
-
+
133242431 = 7671272237
BaseRepresentation
bin1111111000100…
…01111000111111
3100021201102020212
413330101320333
5233102224211
621115503035
73205353620
oct774217077
9307642225
10133242431
1169237013
1238757a7b
13217b259a
14139a5a47
15ba6e38b
hex7f11e3f

133242431 has 16 divisors (see below), whose sum is σ = 155836416. Its totient is φ = 111567456.

The previous prime is 133242407. The next prime is 133242437. The reversal of 133242431 is 134242331.

It is not a de Polignac number, because 133242431 - 26 = 133242367 is a prime.

It is a super-2 number, since 2×1332424312 = 35507090837579522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133242397 and 133242406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133242437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58445 + ... + 60681.

It is an arithmetic number, because the mean of its divisors is an integer number (9739776).

Almost surely, 2133242431 is an apocalyptic number.

133242431 is a deficient number, since it is larger than the sum of its proper divisors (22593985).

133242431 is a wasteful number, since it uses less digits than its factorization.

133242431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438.

The product of its digits is 1728, while the sum is 23.

The square root of 133242431 is about 11543.0685261762. The cubic root of 133242431 is about 510.7568296758.

Adding to 133242431 its reverse (134242331), we get a palindrome (267484762).

The spelling of 133242431 in words is "one hundred thirty-three million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 67 127 469 889 2237 8509 15659 59563 149879 284099 1049153 1988693 19034633 133242431