Search a number
-
+
103123113210 = 232513859102607
BaseRepresentation
bin110000000001010011…
…1011101010011111010
3100212011211022221011100
41200002213131103322
53142144004110320
6115212450112230
710310325666555
oct1400247352372
9325154287140
10103123113210
113a8093442a7
1217b9b87b676
13995586ac20
144dc3b5369c
152a384eb790
hex18029dd4fa

103123113210 has 96 divisors (see below), whose sum is σ = 289083674880. Its totient is φ = 25354353024.

The previous prime is 103123113173. The next prime is 103123113229. The reversal of 103123113210 is 12311321301.

103123113210 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 311 + 321 + 0 = 666.

It is a super-3 number, since 3×1031231132103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953727 + ... + 1056333.

It is an arithmetic number, because the mean of its divisors is an integer number (3011288280).

Almost surely, 2103123113210 is an apocalyptic number.

103123113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103123113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144541837440).

103123113210 is an abundant number, since it is smaller than the sum of its proper divisors (185960561670).

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

103123113210 is a wasteful number, since it uses less digits than its factorization.

103123113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103492 (or 103489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103123113210 its reverse (12311321301), we get a palindrome (115434434511).

The spelling of 103123113210 in words is "one hundred three billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 859 1170 1718 2577 4295 5154 7731 8590 11167 12885 15462 22334 25770 33501 38655 55835 67002 77310 100503 102607 111670 167505 201006 205214 307821 335010 502515 513035 615642 923463 1005030 1026070 1333891 1539105 1846926 2667782 3078210 4001673 4617315 6669455 8003346 9234630 12005019 13338910 20008365 24010038 40016730 60025095 88139413 120050190 176278826 264418239 440697065 528836478 793254717 881394130 1145812369 1322091195 1586509434 2291624738 2644182390 3437437107 3966273585 5729061845 6874874214 7932547170 10312311321 11458123690 17187185535 20624622642 34374371070 51561556605 103123113210