Search a number
-
+
11331323122131 = 341514991856599
BaseRepresentation
bin1010010011100100011101…
…1111010101000111010011
31111010021010101120011210000
42210321013133111013103
52441123022204402011
640033312111541043
72246442515226525
oct244710737250723
944107111504700
1011331323122131
11367965054a501
12133010522a783
1364270178a24c
142b2620741a15
15149b48bed356
hexa4e477d51d3

11331323122131 has 40 divisors (see below), whose sum is σ = 17073293600000. Its totient is φ = 7489145012400.

The previous prime is 11331323122121. The next prime is 11331323122157. The reversal of 11331323122131 is 13122132313311.

11331323122131 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 132 + 312 + 213 + 1 = 666.

It is not a de Polignac number, because 11331323122131 - 233 = 11322733187539 is a prime.

It is a super-2 number, since 2×113313231221312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331323122095 and 11331323122104.

It is not an unprimeable number, because it can be changed into a prime (11331323122121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5174970 + ... + 7031568.

It is an arithmetic number, because the mean of its divisors is an integer number (426832340000).

Almost surely, 211331323122131 is an apocalyptic number.

11331323122131 is a deficient number, since it is larger than the sum of its proper divisors (5741970477869).

11331323122131 is a wasteful number, since it uses less digits than its factorization.

11331323122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857261 (or 1857252 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331323122131 its reverse (13122132313311), we get a palindrome (24453455435442).

The spelling of 11331323122131 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 81 151 453 499 1359 1497 4077 4491 12231 13473 40419 75349 226047 678141 1856599 2034423 5569797 6103269 16709391 50128173 150384519 280346449 841039347 926442901 2523118041 2779328703 7569354123 8337986109 22708062369 25013958327 75041874981 139892878051 419678634153 1259035902459 3777107707377 11331323122131