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2130042031 = 1338311681
BaseRepresentation
bin111111011110101…
…1101110010101111
312111110001100100121
41332331131302233
513330242321111
6551210105411
7103533026035
oct17675356257
95443040317
102130042031
119a3398117
124b541b267
1327c3a9000
14162c6a555
15c6eed871
hex7ef5dcaf

2130042031 has 16 divisors (see below), whose sum is σ = 2335465440. Its totient is φ = 1942337280.

The previous prime is 2130041999. The next prime is 2130042037. The reversal of 2130042031 is 1302400312.

It is a happy number.

It is not a de Polignac number, because 2130042031 - 25 = 2130041999 is a prime.

It is a super-2 number, since 2×21300420312 = 9074158107653209922, 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 = 2130041996 and 2130042014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130042037) 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, 176511 + ... + 188191.

It is an arithmetic number, because the mean of its divisors is an integer number (145966590).

Almost surely, 22130042031 is an apocalyptic number.

2130042031 is a deficient number, since it is larger than the sum of its proper divisors (205423409).

2130042031 is an equidigital number, since it uses as much as digits as its factorization.

2130042031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2130042031 is about 46152.3783894178. The cubic root of 2130042031 is about 1286.6568142537.

Adding to 2130042031 its reverse (1302400312), we get a palindrome (3432442343).

The spelling of 2130042031 in words is "two billion, one hundred thirty million, forty-two thousand, thirty-one".

Divisors: 1 13 83 169 1079 2197 11681 14027 151853 182351 969523 1974089 12603799 25663157 163849387 2130042031