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231242303242132 = 227131061598756883
BaseRepresentation
bin110100100101000001001011…
…010101110111111110010100
31010022202112210201001021202121
4310211001023111313332110
5220302133214112222012
62135451125250345324
766464463562234360
oct6445011325677624
91108675721037677
10231242303242132
1167754345784426
1221b2838358b244
139c050952a7140
14411628993a2a0
151bb022284ca07
hexd2504b577f94

231242303242132 has 48 divisors (see below), whose sum is σ = 498529771673472. Its totient is φ = 91394250468480.

The previous prime is 231242303242103. The next prime is 231242303242141.

It is a happy number.

231242303242132 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2312423032421322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298992238 + ... + 299764645.

It is an arithmetic number, because the mean of its divisors is an integer number (10386036909864).

Almost surely, 2231242303242132 is an apocalyptic number.

It is an amenable number.

231242303242132 is an abundant number, since it is smaller than the sum of its proper divisors (267287468431340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231242303242132 is a wasteful number, since it uses less digits than its factorization.

231242303242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598757968 (or 598757966 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 23124230 and 3242132, that added together give a palindrome (26366362).

The spelling of 231242303242132 in words is "two hundred thirty-one trillion, two hundred forty-two billion, three hundred three million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 1061 2122 4244 7427 13793 14854 27586 29708 55172 96551 193102 386204 598756883 1197513766 2395027532 4191298181 7783839479 8382596362 15567678958 16765192724 31135357916 54486876353 108973752706 217947505412 635281052863 1270562105726 2541124211452 4446967370041 8258653687219 8893934740082 16517307374438 17787869480164 33034614748876 57810575810533 115621151621066 231242303242132