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2107031121 = 321337348281
BaseRepresentation
bin111110110010110…
…1011111001010001
312102211202021022200
41331211223321101
513303344443441
6545024553413
7103133316606
oct17545537121
95384667280
102107031121
11991400738
124a9782869
132776b02a0
1415db9a6ad
15c4ea57b6
hex7d96be51

2107031121 has 24 divisors (see below), whose sum is σ = 3286459176. Its totient is φ = 1293131520.

The previous prime is 2107031063. The next prime is 2107031159. The reversal of 2107031121 is 1211307012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 71216721 + 2035814400 = 8439^2 + 45120^2 .

It is not a de Polignac number, because 2107031121 - 26 = 2107031057 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2107031094 and 2107031103.

It is not an unprimeable number, because it can be changed into a prime (2107031161) 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 23 ways as a sum of consecutive naturals, for example, 19501 + ... + 67781.

It is an arithmetic number, because the mean of its divisors is an integer number (136935799).

Almost surely, 22107031121 is an apocalyptic number.

It is an amenable number.

2107031121 is a deficient number, since it is larger than the sum of its proper divisors (1179428055).

2107031121 is a wasteful number, since it uses less digits than its factorization.

2107031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48673 (or 48670 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2107031121 is about 45902.4086622914. The cubic root of 2107031121 is about 1282.0067644939.

Adding to 2107031121 its reverse (1211307012), we get a palindrome (3318338133).

The spelling of 2107031121 in words is "two billion, one hundred seven million, thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 373 1119 3357 4849 14547 43641 48281 144843 434529 627653 1882959 5648877 18008813 54026439 162079317 234114569 702343707 2107031121