Search a number
-
+
231023232342 = 232713782716183
BaseRepresentation
bin1101011100101000001…
…1101100010101010110
3211002022101222011202200
43113022003230111112
512241113421413332
6254044113345330
722455654034350
oct3271203542526
9732271864680
10231023232342
1189a816568a1
1238935268246
1318a29696ba6
14b2783a40d0
156021d1d17c
hex35ca0ec556

231023232342 has 96 divisors (see below), whose sum is σ = 576965555712. Its totient is φ = 65441561472.

The previous prime is 231023232337. The next prime is 231023232361. The reversal of 231023232342 is 243232320132.

231023232342 is a `hidden beast` number, since 2 + 3 + 102 + 323 + 234 + 2 = 666.

231023232342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14267583 + ... + 14283765.

It is an arithmetic number, because the mean of its divisors is an integer number (6010057872).

Almost surely, 2231023232342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231023232342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288482777856).

231023232342 is an abundant number, since it is smaller than the sum of its proper divisors (345942323370).

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

231023232342 is a wasteful number, since it uses less digits than its factorization.

231023232342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17162 (or 17159 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 231023232342 its reverse (243232320132), we get a palindrome (474255552474).

The spelling of 231023232342 in words is "two hundred thirty-one billion, twenty-three million, two hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 827 959 1233 1654 1918 2466 2481 2877 4962 5754 5789 7443 8631 11578 14886 16183 17262 17367 32366 34734 48549 52101 97098 104202 113281 113299 145647 226562 226598 291294 339843 339897 679686 679794 793093 1019529 1019691 1586186 2039058 2039382 2217071 2379279 4434142 4758558 6651213 7137837 13302426 13383341 14275674 15519497 19953639 26766682 31038994 39907278 40150023 46558491 80300046 93116982 93683387 120450069 139675473 187366774 240900138 279350946 281050161 562100322 843150483 1686300966 1833517717 3667035434 5500553151 11001106302 12834624019 16501659453 25669248038 33003318906 38503872057 77007744114 115511616171 231023232342