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33131021 = 7112937401
BaseRepresentation
bin111111001100…
…0101000001101
32022100020012212
41332120220031
531440143041
63142040205
7551415620
oct176305015
968306185
1033131021
1117779910
12b119065
136b30171
144585db7
152d968eb
hex1f98a0d

33131021 has 32 divisors (see below), whose sum is σ = 43994880. Its totient is φ = 24192000.

The previous prime is 33130997. The next prime is 33131023. The reversal of 33131021 is 12013133.

It is not a de Polignac number, because 33131021 - 210 = 33129997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33130987 and 33131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82421 + ... + 82821.

It is an arithmetic number, because the mean of its divisors is an integer number (1374840).

Almost surely, 233131021 is an apocalyptic number.

It is an amenable number.

33131021 is a deficient number, since it is larger than the sum of its proper divisors (10863859).

33131021 is a wasteful number, since it uses less digits than its factorization.

33131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 33131021 is about 5755.9552638984. The cubic root of 33131021 is about 321.1773717831.

Adding to 33131021 its reverse (12013133), we get a palindrome (45144154).

It can be divided in two parts, 3313 and 1021, that added together give a palindrome (4334).

The spelling of 33131021 in words is "thirty-three million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 7 11 29 37 77 203 259 319 401 407 1073 2233 2807 2849 4411 7511 11629 11803 14837 30877 81403 82621 103859 127919 163207 430273 895433 1142449 3011911 4733003 33131021