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13003320231 = 3311167409641
BaseRepresentation
bin11000001110000111…
…01110101110100111
31020120020001002222000
430013003232232213
5203112322221411
65550150140343
7640143253416
oct140703565647
936506032860
1013003320231
115573042a50
12262a9516b3
1312c2c95035
148b4d9147d
155118aa956
hex3070eeba7

13003320231 has 64 divisors (see below), whose sum is σ = 21226060800. Its totient is φ = 7802265600.

The previous prime is 13003320217. The next prime is 13003320257. The reversal of 13003320231 is 13202330031.

13003320231 is a `hidden beast` number, since 1 + 300 + 332 + 0 + 2 + 31 = 666.

It is not a de Polignac number, because 13003320231 - 219 = 13002795943 is a prime.

It is a super-2 number, since 2×130033202312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003320331) 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 63 ways as a sum of consecutive naturals, for example, 20285671 + ... + 20286311.

It is an arithmetic number, because the mean of its divisors is an integer number (331657200).

Almost surely, 213003320231 is an apocalyptic number.

13003320231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13003320231 is a deficient number, since it is larger than the sum of its proper divisors (8222740569).

13003320231 is a wasteful number, since it uses less digits than its factorization.

13003320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1231 counting only the distinct ones).

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

Adding to 13003320231 its reverse (13202330031), we get a palindrome (26205650262).

The spelling of 13003320231 in words is "thirteen billion, three million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 167 297 409 501 641 1227 1503 1837 1923 3681 4499 4509 5511 5769 7051 11043 13497 16533 17307 21153 40491 49599 63459 68303 107047 121473 190377 204909 262169 321141 614727 751333 786507 963423 1177517 1844181 2253999 2359521 2883859 2890269 3532551 6761997 7078563 8651577 10597653 20285991 25954731 31792959 43782223 77864193 131346669 394040007 481604453 1182120021 1444813359 4334440077 13003320231