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2131058919 = 3111737102667
BaseRepresentation
bin111111100000101…
…0110000011100111
312111111222000021010
41333001112003213
513331022341134
6551243553303
7103544462523
oct17701260347
95444860233
102131058919
119a3a22120
124b582b833
1327c673b12
14163052d83
15c714ece9
hex7f0560e7

2131058919 has 32 divisors (see below), whose sum is σ = 3370795776. Its totient is φ = 1182712320.

The previous prime is 2131058879. The next prime is 2131058921. The reversal of 2131058919 is 9198501312.

It is not a de Polignac number, because 2131058919 - 28 = 2131058663 is a prime.

It is a super-2 number, since 2×21310589192 = 9082824232498897122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131058989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30577 + ... + 72090.

It is an arithmetic number, because the mean of its divisors is an integer number (105337368).

Almost surely, 22131058919 is an apocalyptic number.

2131058919 is a deficient number, since it is larger than the sum of its proper divisors (1239736857).

2131058919 is a wasteful number, since it uses less digits than its factorization.

2131058919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102735.

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 2131058919 is about 46163.3937119012. The cubic root of 2131058919 is about 1286.8615328620.

The spelling of 2131058919 in words is "two billion, one hundred thirty-one million, fifty-eight thousand, nine hundred nineteen".

Divisors: 1 3 11 17 33 37 51 111 187 407 561 629 1221 1887 6919 20757 102667 308001 1129337 1745339 3388011 3798679 5236017 11396037 19198729 41785469 57596187 64577543 125356407 193732629 710352973 2131058919