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201312243120303 = 32729811135865999
BaseRepresentation
bin101101110001011110101000…
…101111010111100010101111
3222101210021002100120110111200
4231301132220233113202233
5202341244433214322203
61552053322345420543
760255221023642410
oct5561365057274257
9871707070513450
10201312243120303
1159165052050a87
121a6b37b2a9a753
1388438809c1cb3
14379d7c91d5807
1518418d7c5a9a3
hexb717a8bd78af

201312243120303 has 48 divisors (see below), whose sum is σ = 344208359040000. Its totient is φ = 110931870047040.

The previous prime is 201312243120137. The next prime is 201312243120371. The reversal of 201312243120303 is 303021342213102.

201312243120303 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 22 + 431 + 203 + 0 + 3 = 666.

It is not a de Polignac number, because 201312243120303 - 29 = 201312243119791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201312243128303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66451303 + ... + 69414696.

It is an arithmetic number, because the mean of its divisors is an integer number (7171007480000).

Almost surely, 2201312243120303 is an apocalyptic number.

201312243120303 is a deficient number, since it is larger than the sum of its proper divisors (142896115919697).

201312243120303 is a wasteful number, since it uses less digits than its factorization.

201312243120303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135866852 (or 135866849 counting only the distinct ones).

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

Adding to 201312243120303 its reverse (303021342213102), we get a palindrome (504333585333405).

The spelling of 201312243120303 in words is "two hundred one trillion, three hundred twelve billion, two hundred forty-three million, one hundred twenty thousand, three hundred three".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 811 1827 2433 5677 7299 17031 23519 51093 70557 164633 211671 493899 1481697 135865999 407597997 951061993 1222793991 2853185979 3940113971 8559557937 11820341913 27580797797 35461025739 82742393391 110187325189 248227180173 330561975567 771311276323 991685926701 2313933828969 3195432430481 6941801486907 9586297291443 22368027013367 28758891874329 67104081040101 201312243120303