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2131036131 = 37314179841
BaseRepresentation
bin111111100000101…
…0000011111100011
312111111220212000010
41333001100133203
513331021124011
6551243300003
7103544336220
oct17701203743
95444825003
102131036131
119a3a06a94
124b581a603
1327c666633
14163048947
15c71481a6
hex7f0507e3

2131036131 has 32 divisors (see below), whose sum is σ = 3433844736. Its totient is φ = 1149696000.

The previous prime is 2131036121. The next prime is 2131036177. The reversal of 2131036131 is 1316301312.

It is not a de Polignac number, because 2131036131 - 25 = 2131036099 is a prime.

It is a super-2 number, since 2×21310361312 = 9082629983254898322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2131036098 and 2131036107.

It is not an unprimeable number, because it can be changed into a prime (2131036111) 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 31 ways as a sum of consecutive naturals, for example, 13230 + ... + 66611.

It is an arithmetic number, because the mean of its divisors is an integer number (107307648).

Almost surely, 22131036131 is an apocalyptic number.

2131036131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131036131 is a deficient number, since it is larger than the sum of its proper divisors (1302808605).

2131036131 is a wasteful number, since it uses less digits than its factorization.

2131036131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79923.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 2131036131 is about 46163.1468922993. The cubic root of 2131036131 is about 1286.8569459240.

Adding to 2131036131 its reverse (1316301312), we get a palindrome (3447337443).

The spelling of 2131036131 in words is "two billion, one hundred thirty-one million, thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 41 93 123 217 287 651 861 1271 3813 8897 26691 79841 239523 558887 1676661 2475071 3273481 7425213 9820443 17325497 22914367 51976491 68743101 101477911 304433733 710345377 2131036131