Search a number
-
+
103960704127 = 723631958417
BaseRepresentation
bin110000011010010001…
…0100111010001111111
3100221100012101221220011
41200310202213101333
53200402420013002
6115431530404051
710340146255600
oct1406442472177
9327305357804
10103960704127
11400a911a7a5
1218194290627
139a5a252c57
1450630a5da7
152a86ceb8d7
hex18348a747f

103960704127 has 12 divisors (see below), whose sum is σ = 120939280320. Its totient is φ = 89105196096.

The previous prime is 103960704119. The next prime is 103960704139. The reversal of 103960704127 is 721407069301.

It is not a de Polignac number, because 103960704127 - 23 = 103960704119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103960704127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103960704227) 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 11 ways as a sum of consecutive naturals, for example, 1750423 + ... + 1808839.

It is an arithmetic number, because the mean of its divisors is an integer number (10078273360).

Almost surely, 2103960704127 is an apocalyptic number.

103960704127 is a deficient number, since it is larger than the sum of its proper divisors (16978576193).

103960704127 is an equidigital number, since it uses as much as digits as its factorization.

103960704127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94750 (or 94743 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 103960704127 in words is "one hundred three billion, nine hundred sixty million, seven hundred four thousand, one hundred twenty-seven".

Divisors: 1 7 49 36319 58417 254233 408919 1779631 2862433 2121647023 14851529161 103960704127