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133012131 = 37172291627
BaseRepresentation
bin1111110110110…
…01101010100011
3100021021201100020
413323121222203
5233022342011
621110524523
73203404320
oct773315243
9307251306
10133012131
1169099a8a
1238666743
1321731805
1413945b47
15ba26006
hex7ed9aa3

133012131 has 32 divisors (see below), whose sum is σ = 215677440. Its totient is φ = 71179776.

The previous prime is 133012093. The next prime is 133012133. The reversal of 133012131 is 131210331.

It is not a de Polignac number, because 133012131 - 210 = 133011107 is a prime.

It is a super-2 number, since 2×1330121312 = 35384453986322322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133012131.

It is not an unprimeable number, because it can be changed into a prime (133012133) 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, 80940 + ... + 82566.

It is an arithmetic number, because the mean of its divisors is an integer number (6739920).

Almost surely, 2133012131 is an apocalyptic number.

133012131 is a deficient number, since it is larger than the sum of its proper divisors (82665309).

133012131 is a wasteful number, since it uses less digits than its factorization.

133012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 133012131 is about 11533.0885282304. The cubic root of 133012131 is about 510.4623911043.

Adding to 133012131 its reverse (131210331), we get a palindrome (264222462).

The spelling of 133012131 in words is "one hundred thirty-three million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 229 357 687 1603 1627 3893 4809 4881 11389 11679 27251 27659 34167 81753 82977 193613 372583 580839 1117749 2608081 6333911 7824243 19001733 44337377 133012131