Search a number
-
+
103561175344065 = 3531415432005001
BaseRepresentation
bin10111100011000000110111…
…000100011010001111000001
3111120200100111100222222200020
4113203000313010122033001
5102033221241342002230
61004131202553244053
730546022316131545
oct2743006704321701
9446610440888606
10103561175344065
112aaa805871383a
12b746a24103629
1345a2a13bc184a
141b8055d933a25
15be8ce5664810
hex5e303711a3c1

103561175344065 has 32 divisors (see below), whose sum is σ = 175214753344512. Its totient is φ = 52147248000000.

The previous prime is 103561175344049. The next prime is 103561175344069. The reversal of 103561175344065 is 560443571165301.

It is not a de Polignac number, because 103561175344065 - 24 = 103561175344049 is a prime.

It is a super-3 number, since 3×1035611753440653 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103561175343999 and 103561175344017.

It is not an unprimeable number, because it can be changed into a prime (103561175344069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715983436 + ... + 2716021565.

It is an arithmetic number, because the mean of its divisors is an integer number (5475461042016).

Almost surely, 2103561175344065 is an apocalyptic number.

103561175344065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103561175344065 is a deficient number, since it is larger than the sum of its proper divisors (71653578000447).

103561175344065 is a wasteful number, since it uses less digits than its factorization.

103561175344065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432005081.

The product of its (nonzero) digits is 4536000, while the sum is 51.

The spelling of 103561175344065 in words is "one hundred three trillion, five hundred sixty-one billion, one hundred seventy-five million, three hundred forty-four thousand, sixty-five".

Divisors: 1 3 5 15 31 41 93 123 155 205 465 615 1271 3813 6355 19065 5432005001 16296015003 27160025005 81480075015 168392155031 222712205041 505176465093 668136615123 841960775155 1113561025205 2525882325465 3340683075615 6904078356271 20712235068813 34520391781355 103561175344065