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133225131 = 31319237817
BaseRepresentation
bin1111111000011…
…01101010101011
3100021200112112010
413330031222223
5233101201011
621115251003
73205252314
oct774155253
9307615463
10133225131
1169225016
1238749a63
13217a7750
141399d60b
15ba691a6
hex7f0daab

133225131 has 32 divisors (see below), whose sum is σ = 210147840. Its totient is φ = 74283264.

The previous prime is 133225111. The next prime is 133225153. The reversal of 133225131 is 131522331.

It is not a de Polignac number, because 133225131 - 218 = 132962987 is a prime.

It is a super-2 number, since 2×1332251312 = 35497871059934322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133225098 and 133225107.

It is not an unprimeable number, because it can be changed into a prime (133225111) 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, 13135 + ... + 20951.

It is an arithmetic number, because the mean of its divisors is an integer number (6567120).

Almost surely, 2133225131 is an apocalyptic number.

133225131 is a deficient number, since it is larger than the sum of its proper divisors (76922709).

133225131 is a wasteful number, since it uses less digits than its factorization.

133225131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875.

The product of its digits is 540, while the sum is 21.

The square root of 133225131 is about 11542.3191343854. The cubic root of 133225131 is about 510.7347234155.

Adding to 133225131 its reverse (131522331), we get a palindrome (264747462).

The spelling of 133225131 in words is "one hundred thirty-three million, two hundred twenty-five thousand, one hundred thirty-one".

Divisors: 1 3 13 19 23 39 57 69 247 299 437 741 897 1311 5681 7817 17043 23451 101621 148523 179791 304863 445569 539373 1930799 2337283 3416029 5792397 7011849 10248087 44408377 133225131