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2130032031 = 319157238019
BaseRepresentation
bin111111011110101…
…1011010110011111
312111110000211122020
41332331123112133
513330242011111
6551205551223
7103532654631
oct17675332637
95443024566
102130032031
119a3390656
124b5415513
1327c3a45aa
14162c66a51
15c6eea906
hex7ef5b59f

2130032031 has 16 divisors (see below), whose sum is σ = 3008572800. Its totient is φ = 1336709088.

The previous prime is 2130032029. The next prime is 2130032039. The reversal of 2130032031 is 1302300312.

It is not a de Polignac number, because 2130032031 - 21 = 2130032029 is a prime.

It is a super-3 number, since 3×21300320313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2130032031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130032039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110061 + ... + 127958.

It is an arithmetic number, because the mean of its divisors is an integer number (188035800).

Almost surely, 22130032031 is an apocalyptic number.

2130032031 is a deficient number, since it is larger than the sum of its proper divisors (878540769).

2130032031 is a wasteful number, since it uses less digits than its factorization.

2130032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238198.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2130032031 is about 46152.2700525120. The cubic root of 2130032031 is about 1286.6548007428.

Adding to 2130032031 its reverse (1302300312), we get a palindrome (3432332343).

The spelling of 2130032031 in words is "two billion, one hundred thirty million, thirty-two thousand, thirty-one".

Divisors: 1 3 19 57 157 471 2983 8949 238019 714057 4522361 13567083 37368983 112106949 710010677 2130032031