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2105004975 = 352531573373
BaseRepresentation
bin111110101110111…
…1101001110101111
312102200221022222020
41331131331032233
513302340124400
6544513321223
7103110150513
oct17535751657
95380838866
102105004975
11990247437
124a8b66213
13277150c98
1415d7d0143
15c4c052a0
hex7d77d3af

2105004975 has 48 divisors (see below), whose sum is σ = 3569584032. Its totient is φ = 1094146560.

The previous prime is 2105004973. The next prime is 2105004977. The reversal of 2105004975 is 5794005012.

It is an interprime number because it is at equal distance from previous prime (2105004973) and next prime (2105004977).

It is not a de Polignac number, because 2105004975 - 21 = 2105004973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105004973) 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 47 ways as a sum of consecutive naturals, for example, 622389 + ... + 625761.

It is an arithmetic number, because the mean of its divisors is an integer number (74366334).

Almost surely, 22105004975 is an apocalyptic number.

2105004975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2105004975 is a deficient number, since it is larger than the sum of its proper divisors (1464579057).

2105004975 is a wasteful number, since it uses less digits than its factorization.

2105004975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 2105004975 is about 45880.3332049801. Note that the first 3 decimals coincide. The cubic root of 2105004975 is about 1281.5957017584.

Adding to 2105004975 its reverse (5794005012), we get a palindrome (7899009987).

The spelling of 2105004975 in words is "two billion, one hundred five million, four thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 53 75 157 159 265 471 785 795 1325 2355 3373 3925 3975 8321 10119 11775 16865 24963 41605 50595 84325 124815 178769 208025 252975 529561 536307 624075 893845 1588683 2647805 2681535 4469225 7943415 13239025 13407675 28066733 39717075 84200199 140333665 421000995 701668325 2105004975