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133131292 = 227109181241
BaseRepresentation
bin1111110111101…
…10110000011100
3100021111202210121
413323312300130
5233040200132
621113244324
73204411610
oct773666034
9307452717
10133131292
1169170568
12387036a4
1321773b18
1413977340
15ba4b497
hex7ef6c1c

133131292 has 48 divisors (see below), whose sum is σ = 271311040. Its totient is φ = 55987200.

The previous prime is 133131277. The next prime is 133131293. The reversal of 133131292 is 292131331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131293) 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 15 ways as a sum of consecutive naturals, for example, 552292 + ... + 552532.

Almost surely, 2133131292 is an apocalyptic number.

It is an amenable number.

133131292 is an abundant number, since it is smaller than the sum of its proper divisors (138179748).

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

133131292 is a wasteful number, since it uses less digits than its factorization.

133131292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 133131292 is about 11538.2534206872. The cubic root of 133131292 is about 510.6147808481.

It can be divided in two parts, 1331 and 31292, that added together give a palindrome (32623).

The spelling of 133131292 in words is "one hundred thirty-three million, one hundred thirty-one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 109 181 218 241 362 436 482 724 763 964 1267 1526 1687 2534 3052 3374 5068 6748 19729 26269 39458 43621 52538 78916 87242 105076 138103 174484 183883 276206 305347 367766 552412 610694 735532 1221388 4754689 9509378 19018756 33282823 66565646 133131292