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13100103303 = 3749191979
BaseRepresentation
bin11000011001101001…
…11011011010000111
31020210222011012101020
430030310323122013
5203312111301203
610003524402223
7642430020000
oct141464733207
936728135336
1013100103303
115612737561
122657246373
13130a050521
148c3b861a7
1551a127153
hex30cd3b687

13100103303 has 40 divisors (see below), whose sum is σ = 20409206400. Its totient is φ = 7473849264.

The previous prime is 13100103283. The next prime is 13100103343. The reversal of 13100103303 is 30330100131.

It is not a de Polignac number, because 13100103303 - 222 = 13095908999 is a prime.

It is a super-3 number, since 3×131001033033 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100103343) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6618568 + ... + 6620546.

It is an arithmetic number, because the mean of its divisors is an integer number (510230160).

Almost surely, 213100103303 is an apocalyptic number.

13100103303 is a deficient number, since it is larger than the sum of its proper divisors (7309103097).

13100103303 is an frugal number, since it uses more digits than its factorization.

13100103303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2929 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13100103303 its reverse (30330100131), we get a palindrome (43430203434).

It can be divided in two parts, 13100 and 103303, that added together give a triangular number (116403 = T482).

The spelling of 13100103303 in words is "thirteen billion, one hundred million, one hundred three thousand, three hundred three".

Divisors: 1 3 7 21 49 147 343 919 1029 1979 2401 2757 5937 6433 7203 13853 19299 41559 45031 96971 135093 290913 315217 678797 945651 1818701 2036391 2206519 4751579 5456103 6619557 12730907 14254737 38192721 89116349 267349047 623814443 1871443329 4366701101 13100103303