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240312010133 = 1331011082989
BaseRepresentation
bin1101111111001110110…
…1100100010110010101
3211222021202102222102202
43133303231210112111
512414124333311013
6302221532214245
723235104245226
oct3376355442625
9758252388382
10240312010133
1192a08957058
123a6a800a385
1319879c16000
14b8b9cab24d
1563b753d858
hex37f3b64595

240312010133 has 16 divisors (see below), whose sum is σ = 262906652400. Its totient is φ = 219629966400.

The previous prime is 240312010121. The next prime is 240312010153. The reversal of 240312010133 is 331010213042.

It can be written as a sum of positive squares in 8 ways, for example, as 113634387409 + 126677622724 = 337097^2 + 355918^2 .

It is not a de Polignac number, because 240312010133 - 212 = 240312006037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240312010153) 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 15 ways as a sum of consecutive naturals, for example, 319598 + ... + 763391.

It is an arithmetic number, because the mean of its divisors is an integer number (16431665775).

Almost surely, 2240312010133 is an apocalyptic number.

It is an amenable number.

240312010133 is a deficient number, since it is larger than the sum of its proper divisors (22594642267).

240312010133 is a wasteful number, since it uses less digits than its factorization.

240312010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083129 (or 1083103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 240312010133 its reverse (331010213042), we get a palindrome (571322223175).

The spelling of 240312010133 in words is "two hundred forty billion, three hundred twelve million, ten thousand, one hundred thirty-three".

Divisors: 1 13 101 169 1313 2197 17069 221897 1082989 14078857 109381889 183025141 1421964557 2379326833 18485539241 240312010133