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2131330131 = 33743262253
BaseRepresentation
bin111111100001001…
…1000010001010011
312111112110210022000
41333002120101103
513331110031011
6551253445043
7103550002320
oct17702302123
95445423260
102131330131
119a4097967
124b5940783
1327c73a3b8
141630c3b47
15c71a5356
hex7f098453

2131330131 has 32 divisors (see below), whose sum is σ = 3692536320. Its totient is φ = 1189575072.

The previous prime is 2131330109. The next prime is 2131330133. The reversal of 2131330131 is 1310331312.

It is a happy number.

2131330131 is a `hidden beast` number, since 21 + 313 + 301 + 31 = 666.

It is not a de Polignac number, because 2131330131 - 219 = 2130805843 is a prime.

It is a super-2 number, since 2×21313301312 = 9085136254616954322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131330133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123000 + ... + 139253.

It is an arithmetic number, because the mean of its divisors is an integer number (115391760).

Almost surely, 22131330131 is an apocalyptic number.

2131330131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2131330131 is a deficient number, since it is larger than the sum of its proper divisors (1561206189).

2131330131 is a wasteful number, since it uses less digits than its factorization.

2131330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262312 (or 262306 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2131330131 is about 46166.3311407783. The cubic root of 2131330131 is about 1286.9161219182.

Adding to 2131330131 its reverse (1310331312), we get a palindrome (3441661443).

The spelling of 2131330131 in words is "two billion, one hundred thirty-one million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 2709 8127 262253 786759 1835771 2360277 5507313 7080831 11276879 16521939 33830637 49565817 78938153 101491911 236814459 304475733 710443377 2131330131