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200003231313 = 324110119727241
BaseRepresentation
bin1011101001000100011…
…1110001111001010001
3201010020120100212000200
42322101013301321101
511234101311400223
6231514043205413
720310160262514
oct2722107617121
9633216325020
10200003231313
1177903678a06
1232918816869
1315b24bb0bb2
1499746c2d7b
1553088b1a43
hex2e911f1e51

200003231313 has 48 divisors (see below), whose sum is σ = 300397969872. Its totient is φ = 128136960000.

The previous prime is 200003231299. The next prime is 200003231327. The reversal of 200003231313 is 313132300002.

200003231313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200003231299) and next prime (200003231327).

It can be written as a sum of positive squares in 8 ways, for example, as 83170522449 + 116832708864 = 288393^2 + 341808^2 .

It is not a de Polignac number, because 200003231313 - 216 = 200003165777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200003231333) by changing a digit.

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, 7328373 + ... + 7355613.

It is an arithmetic number, because the mean of its divisors is an integer number (6258291039).

Almost surely, 2200003231313 is an apocalyptic number.

It is an amenable number.

200003231313 is a deficient number, since it is larger than the sum of its proper divisors (100394738559).

200003231313 is a wasteful number, since it uses less digits than its factorization.

200003231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27586 (or 27583 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200003231313 its reverse (313132300002), we get a palindrome (513135531315).

The spelling of 200003231313 in words is "two hundred billion, three million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 41 101 123 197 303 369 591 909 1773 4141 8077 12423 19897 24231 27241 37269 59691 72693 81723 179073 245169 815777 1116881 2447331 2751341 3350643 5366477 7341993 8254023 10051929 16099431 24762069 48298293 112804981 220025557 338414943 542014177 660076671 1015244829 1626042531 1980230013 4878127593 22222581257 66667743771 200003231313