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2121131005 = 57373175167
BaseRepresentation
bin111111001101101…
…1110001111111101
312110211021121201121
41332123132033331
513321002143010
6550251110541
7103364213260
oct17633361775
95424247647
102121131005
11999361134
124b2442451
1327a5a9006
141619cacd7
15c633d3da
hex7e6de3fd

2121131005 has 32 divisors (see below), whose sum is σ = 2997605376. Its totient is φ = 1410441984.

The previous prime is 2121131003. The next prime is 2121131053. The reversal of 2121131005 is 5001311212.

It is not a de Polignac number, because 2121131005 - 21 = 2121131003 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121131005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121131003) 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 31 ways as a sum of consecutive naturals, for example, 407932 + ... + 413098.

It is an arithmetic number, because the mean of its divisors is an integer number (93675168).

Almost surely, 22121131005 is an apocalyptic number.

It is an amenable number.

2121131005 is a deficient number, since it is larger than the sum of its proper divisors (876474371).

2121131005 is a wasteful number, since it uses less digits than its factorization.

2121131005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 2121131005 is about 46055.7380247022. The cubic root of 2121131005 is about 1284.8600643995.

Adding to 2121131005 its reverse (5001311212), we get a palindrome (7122442217).

The spelling of 2121131005 in words is "two billion, one hundred twenty-one million, one hundred thirty-one thousand, five".

Divisors: 1 5 7 35 37 185 259 317 1295 1585 2219 5167 11095 11729 25835 36169 58645 82103 180845 191179 410515 955895 1338253 1637939 6691265 8189695 11465573 57327865 60603743 303018715 424226201 2121131005