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2131404210 = 2325131821713
BaseRepresentation
bin111111100001010…
…1010010110110010
312111112121112220200
41333002222112302
513331114413320
6551255220030
7103550431305
oct17702522662
95445545820
102131404210
119a4138591
124b5977616
1327c765030
14163102b3c
15c71bc290
hex7f0aa5b2

2131404210 has 48 divisors (see below), whose sum is σ = 5967935064. Its totient is φ = 524653056.

The previous prime is 2131404199. The next prime is 2131404217. The reversal of 2131404210 is 124041312.

2131404210 is a `hidden beast` number, since 21 + 31 + 404 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1586508561 + 544895649 = 39831^2 + 23343^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2131404217) 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 23 ways as a sum of consecutive naturals, for example, 909687 + ... + 912026.

Almost surely, 22131404210 is an apocalyptic number.

2131404210 is an abundant number, since it is smaller than the sum of its proper divisors (3836530854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131404210 is a wasteful number, since it uses less digits than its factorization.

2131404210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821739 (or 1821736 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2131404210 is about 46167.1334392769. The cubic root of 2131404210 is about 1286.9310315988.

Adding to 2131404210 its reverse (124041312), we get a palindrome (2255445522).

The spelling of 2131404210 in words is "two billion, one hundred thirty-one million, four hundred four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1821713 3643426 5465139 9108565 10930278 16395417 18217130 23682269 27325695 32790834 47364538 54651390 71046807 81977085 118411345 142093614 163954170 213140421 236822690 355234035 426280842 710468070 1065702105 2131404210