Search a number
-
+
113015515041 = 321121317469589
BaseRepresentation
bin110100101000000111…
…1111110011110100001
3101210201020122000100100
41221100033332132201
53322423432440131
6123530230413013
711110426012332
oct1512017763641
9353636560310
10113015515041
1143a25348200
1219aa0801169
13a871184330
1456818a8289
152e16c037e6
hex1a503fe7a1

113015515041 has 72 divisors (see below), whose sum is σ = 204604119720. Its totient is φ = 59506191360.

The previous prime is 113015515033. The next prime is 113015515043. The reversal of 113015515041 is 140515510311.

113015515041 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 155 + 1 + 504 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18422361441 + 94593153600 = 135729^2 + 307560^2 .

It is not a de Polignac number, because 113015515041 - 23 = 113015515033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113015514996 and 113015515014.

It is not an unprimeable number, because it can be changed into a prime (113015515043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5875 + ... + 475463.

It is an arithmetic number, because the mean of its divisors is an integer number (2841723885).

Almost surely, 2113015515041 is an apocalyptic number.

113015515041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113015515041 is a deficient number, since it is larger than the sum of its proper divisors (91588604679).

113015515041 is a wasteful number, since it uses less digits than its factorization.

113015515041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469647 (or 469633 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 113015515041 in words is "one hundred thirteen billion, fifteen million, five hundred fifteen thousand, forty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 121 143 153 187 221 363 429 561 663 1089 1287 1573 1683 1989 2057 2431 4719 6171 7293 14157 18513 21879 26741 80223 240669 469589 1408767 4226301 5165479 6104657 7983013 15496437 18313971 23949039 46489311 54941913 56820269 67151227 71847117 87813143 103779169 170460807 201453681 263439429 311337507 511382421 604361043 738663497 790318287 934012521 965944573 1141570859 2215990491 2897833719 3424712577 6647971473 8693501157 10274137731 12557279449 37671838347 113015515041