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2131100001 = 325914392789
BaseRepresentation
bin111111100000110…
…0000000101100001
312111112001002121200
41333001200011201
513331030200001
6551244511413
7103545023352
oct17701400541
95445032550
102131100001
119a3a4aa78
124b584b569
1327c689724
14163063d29
15c715c086
hex7f060161

2131100001 has 24 divisors (see below), whose sum is σ = 3133728000. Its totient is φ = 1395182112.

The previous prime is 2131099969. The next prime is 2131100057. The reversal of 2131100001 is 1000011312.

It is not a de Polignac number, because 2131100001 - 25 = 2131099969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2131100071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762715 + ... + 765503.

It is an arithmetic number, because the mean of its divisors is an integer number (130572000).

Almost surely, 22131100001 is an apocalyptic number.

It is an amenable number.

2131100001 is a deficient number, since it is larger than the sum of its proper divisors (1002627999).

2131100001 is a wasteful number, since it uses less digits than its factorization.

2131100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2131100001 is about 46163.8386727101. The cubic root of 2131100001 is about 1286.8698020696.

Adding to 2131100001 its reverse (1000011312), we get a palindrome (3131111313).

The spelling of 2131100001 in words is "two billion, one hundred thirty-one million, one hundred thousand, one".

Divisors: 1 3 9 59 177 531 1439 2789 4317 8367 12951 25101 84901 164551 254703 493653 764109 1480959 4013371 12040113 36120339 236788889 710366667 2131100001