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2323430310114 = 2324153113525677
BaseRepresentation
bin100001110011110111001…
…111010000000011100010
322020010011212000221210200
4201303313033100003202
5301031341124410424
64535211423010030
7326601524531424
oct41636717200342
98203155027720
102323430310114
118163a7924941
12316368139916
1313b1386468b4
14806516d4814
154068764a8c9
hex21cf73d00e2

2323430310114 has 96 divisors (see below), whose sum is σ = 5300688831984. Its totient is φ = 734768885760.

The previous prime is 2323430310107. The next prime is 2323430310121. The reversal of 2323430310114 is 4110130343232.

It is a happy number.

2323430310114 is a `hidden beast` number, since 2 + 3 + 2 + 343 + 0 + 310 + 1 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2323430310107) and next prime (2323430310121).

It can be written as a sum of positive squares in 8 ways, for example, as 12954309489 + 2310476000625 = 113817^2 + 1520025^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4157044 + ... + 4682720.

Almost surely, 22323430310114 is an apocalyptic number.

2323430310114 is an abundant number, since it is smaller than the sum of its proper divisors (2977258521870).

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

2323430310114 is a wasteful number, since it uses less digits than its factorization.

2323430310114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525892 (or 525889 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2323430310114 its reverse (4110130343232), we get a palindrome (6433560653346).

The spelling of 2323430310114 in words is "two trillion, three hundred twenty-three billion, four hundred thirty million, three hundred ten thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 41 53 82 106 113 123 159 226 246 318 339 369 477 678 738 954 1017 2034 2173 4346 4633 5989 6519 9266 11978 13038 13899 17967 19557 27798 35934 39114 41697 53901 83394 107802 245549 491098 525677 736647 1051354 1473294 1577031 2209941 3154062 4419882 4731093 9462186 21552757 27860881 43105514 55721762 59401501 64658271 83582643 118803002 129316542 167165286 178204503 193974813 250747929 356409006 387949626 501495858 534613509 1069227018 1142296121 2284592242 2435461541 3148279553 3426888363 4870923082 6296559106 6853776726 7306384623 9444838659 10280665089 14612769246 18889677318 20561330178 21919153869 28334515977 43838307738 56669031954 129079461673 258158923346 387238385019 774476770038 1161715155057 2323430310114