Search a number
-
+
13105515031035 = 357297016139723
BaseRepresentation
bin1011111010110101110110…
…0100010110100111111011
31201101212121212122110211220
42332231131210112213323
53204210043321443120
643512331313523123
72521561610513520
oct276553544264773
951355555573756
1013105515031035
1141a3021636289
121577b2a5734a3
13740ac9c4231b
1433444b6d3147
1517ad87b5eb40
hexbeb5d9169fb

13105515031035 has 64 divisors (see below), whose sum is σ = 24826096788480. Its totient is φ = 5776250457600.

The previous prime is 13105515031031. The next prime is 13105515031067. The reversal of 13105515031035 is 53013051550131.

It is not a de Polignac number, because 13105515031035 - 22 = 13105515031031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13105515030987 and 13105515031005.

It is not an unprimeable number, because it can be changed into a prime (13105515031031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935317 + ... + 5204406.

It is an arithmetic number, because the mean of its divisors is an integer number (387907762320).

Almost surely, 213105515031035 is an apocalyptic number.

13105515031035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13105515031035 is a deficient number, since it is larger than the sum of its proper divisors (11720581757445).

13105515031035 is a wasteful number, since it uses less digits than its factorization.

13105515031035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140468.

The product of its (nonzero) digits is 16875, while the sum is 33.

Adding to 13105515031035 its reverse (53013051550131), we get a palindrome (66118566581166).

The spelling of 13105515031035 in words is "thirteen trillion, one hundred five billion, five hundred fifteen million, thirty-one thousand, thirty-five".

Divisors: 1 3 5 7 15 21 29 35 87 105 145 203 435 609 701 1015 2103 3045 3505 4907 10515 14721 20329 24535 60987 73605 101645 142303 304935 426909 711515 2134545 6139723 18419169 30698615 42978061 92095845 128934183 178051967 214890305 534155901 644670915 890259835 1246363769 2670779505 3739091307 4303945823 6231818845 12911837469 18695456535 21519729115 30127620761 64559187345 90382862283 124814428867 150638103805 374443286601 451914311415 624072144335 873701002069 1872216433005 2621103006207 4368505010345 13105515031035