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2032012031 = 71014396547
BaseRepresentation
bin111100100011110…
…0000101011111111
312020121120220110212
41321013200223333
513130143341111
6533345023035
7101232550220
oct17107405377
95217526425
102032012031
11953021795
12488624a7b
13264ca50aa
14153c2d247
15bd5d798b
hex791e0aff

2032012031 has 16 divisors (see below), whose sum is σ = 2350993920. Its totient is φ = 1720288800.

The previous prime is 2032012001. The next prime is 2032012039. The reversal of 2032012031 is 1302102302.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2032012031 - 26 = 2032011967 is a prime.

It is a super-2 number, since 2×20320120312 = 8258145788257489922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2032011997 and 2032012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032012039) 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 15 ways as a sum of consecutive naturals, for example, 307100 + ... + 313646.

It is an arithmetic number, because the mean of its divisors is an integer number (146937120).

Almost surely, 22032012031 is an apocalyptic number.

2032012031 is a deficient number, since it is larger than the sum of its proper divisors (318981889).

2032012031 is a wasteful number, since it uses less digits than its factorization.

2032012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2032012031 is about 45077.8441254681. The cubic root of 2032012031 is about 1266.6076060259.

Adding to 2032012031 its reverse (1302102302), we get a palindrome (3334114333).

The spelling of 2032012031 in words is "two billion, thirty-two million, twelve thousand, thirty-one".

Divisors: 1 7 101 439 707 3073 6547 44339 45829 310373 661247 2874133 4628729 20118931 290287433 2032012031