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133031031 = 3721675419
BaseRepresentation
bin1111110110111…
…10010001110111
3100021022200021020
413323132101313
5233023443111
621111152223
73203513400
oct773362167
9307280236
10133031031
1169102201
1238675673
132173a2b3
141394c9a7
15ba2b906
hex7ede477

133031031 has 24 divisors (see below), whose sum is σ = 207607680. Its totient is φ = 75548592.

The previous prime is 133030957. The next prime is 133031051. The reversal of 133031031 is 130130331.

It is a de Polignac number, because none of the positive numbers 2k-133031031 is a prime.

It is a super-2 number, since 2×1330310312 = 35394510417845922, 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 133031031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21840 + ... + 27258.

It is an arithmetic number, because the mean of its divisors is an integer number (8650320).

Almost surely, 2133031031 is an apocalyptic number.

133031031 is a deficient number, since it is larger than the sum of its proper divisors (74576649).

133031031 is a wasteful number, since it uses less digits than its factorization.

133031031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 133031031 is about 11533.9078806795. The cubic root of 133031031 is about 510.4865675514.

Adding to 133031031 its reverse (130130331), we get a palindrome (263161362).

The spelling of 133031031 in words is "one hundred thirty-three million, thirty-one thousand, thirty-one".

Divisors: 1 3 7 21 49 147 167 501 1169 3507 5419 8183 16257 24549 37933 113799 265531 796593 904973 2714919 6334811 19004433 44343677 133031031