Search a number
-
+
103080117790 = 2513312839941
BaseRepresentation
bin110000000000000001…
…1011100011000011110
3100212001211102112112101
41200000003130120132
53142102002232130
6115204312355314
710306264354516
oct1400003343036
9325054375471
10103080117790
113a7970481a1
1217b893a5b3a
139949995b50
144dbc160846
152a348571ca
hex18000dc61e

103080117790 has 96 divisors (see below), whose sum is σ = 208979090208. Its totient is φ = 36385171200.

The previous prime is 103080117781. The next prime is 103080117841. The reversal of 103080117790 is 97711080301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10364220 + ... + 10374160.

It is an arithmetic number, because the mean of its divisors is an integer number (2176865523).

Almost surely, 2103080117790 is an apocalyptic number.

103080117790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103080117790 is an abundant number, since it is smaller than the sum of its proper divisors (105898972418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103080117790 is a wasteful number, since it uses less digits than its factorization.

103080117790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 37.

The spelling of 103080117790 in words is "one hundred three billion, eighty million, one hundred seventeen thousand, seven hundred ninety".

Divisors: 1 2 5 10 13 26 31 62 65 83 130 155 166 310 403 415 806 830 961 1079 1922 2015 2158 2573 4030 4805 5146 5395 9610 9941 10790 12493 12865 19882 24986 25730 33449 49705 62465 66898 79763 99410 124930 129233 159526 167245 258466 308171 334490 398815 616342 646165 797630 825103 1036919 1292330 1540855 1650206 2073838 3081710 4006223 4125515 5184595 8012446 8251030 9553301 10369190 10726339 19106602 20031115 21452678 25578193 40062230 47766505 51156386 53631695 95533010 107263390 124192913 127890965 248385826 255781930 332516509 620964565 665033018 792923983 1241929130 1585847966 1662582545 3325165090 3964619915 7929239830 10308011779 20616023558 51540058895 103080117790