Search a number
-
+
231222310222131 = 321934919009203821
BaseRepresentation
bin110100100100101110100011…
…101010100011100100110011
31010022200122012100122122021100
4310210232203222203210303
5220301321242404102011
62135434021330455443
766463155253331334
oct6444564352434463
91108618170578240
10231222310222131
11677469161925a8
1221b24523a34583
139c0322a1a45a7
14411531055028b
151bae95250ed56
hexd24ba3aa3933

231222310222131 has 48 divisors (see below), whose sum is σ = 352593716020000. Its totient is φ = 145608329687040.

The previous prime is 231222310222121. The next prime is 231222310222151. The reversal of 231222310222131 is 131222013222132.

231222310222131 is a `hidden beast` number, since 2 + 3 + 122 + 2 + 310 + 2 + 221 + 3 + 1 = 666.

231222310222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-231222310222131 is a prime.

It is a super-2 number, since 2×2312223102221312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231222310222095 and 231222310222104.

It is not an unprimeable number, because it can be changed into a prime (231222310222121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134336201 + ... + 1134540021.

Almost surely, 2231222310222131 is an apocalyptic number.

231222310222131 is a deficient number, since it is larger than the sum of its proper divisors (121371405797869).

231222310222131 is a wasteful number, since it uses less digits than its factorization.

231222310222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223204 (or 223201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 231222310222131 its reverse (131222013222132), we get a palindrome (362444323444263).

The spelling of 231222310222131 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, three hundred ten million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 349 1047 3141 6631 19009 19893 57027 59679 171081 203821 361171 611463 1083513 1834389 3250539 3872599 6634141 11617797 19902423 34853391 59707269 71133529 126048679 213400587 378146037 640201761 1134438111 1351537051 3874433389 4054611153 11623300167 12163833459 34869900501 73614234391 220842703173 662528109519 1352177252761 4056531758283 12169595274849 25691367802459 77074103407377 231222310222131