Search a number
-
+
235410323031 = 33133718126613
BaseRepresentation
bin1101101100111110001…
…1000111011001010111
3211111122011001110211000
43123033203013121113
512324110020314111
6300051312114343
723002454505252
oct3331743073127
9744564043730
10235410323031
1190922a98a84
123975a5359b3
131927855a040
14b572cbc099
1561cc056c56
hex36cf8c7657

235410323031 has 32 divisors (see below), whose sum is σ = 385734345920. Its totient is φ = 140952534912.

The previous prime is 235410323017. The next prime is 235410323041. The reversal of 235410323031 is 130323014532.

235410323031 is a `hidden beast` number, since 2 + 354 + 1 + 0 + 3 + 2 + 303 + 1 = 666.

It is not a de Polignac number, because 235410323031 - 29 = 235410322519 is a prime.

It is a super-2 number, since 2×2354103230312 (a number of 24 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 = 235410322986 and 235410323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235410323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9050320 + ... + 9076293.

It is an arithmetic number, because the mean of its divisors is an integer number (12054198310).

Almost surely, 2235410323031 is an apocalyptic number.

235410323031 is a deficient number, since it is larger than the sum of its proper divisors (150324022889).

235410323031 is a wasteful number, since it uses less digits than its factorization.

235410323031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126672 (or 18126666 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 235410323031 its reverse (130323014532), we get a palindrome (365733337563).

The spelling of 235410323031 in words is "two hundred thirty-five billion, four hundred ten million, three hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 999 1443 4329 12987 18126613 54379839 163139517 235645969 489418551 670684681 706937907 2012054043 2120813721 6036162129 6362441163 8718900853 18108486387 26156702559 78470107677 235410323031