Search a number
-
+
131123103000 = 23353157278393
BaseRepresentation
bin111101000011110001…
…0111100010100011000
3110112110012020210022020
41322013202330110120
54122020003244000
6140123115054440
712321231662061
oct1720742742430
9415405223266
10131123103000
115067763402a
12214b4a41420
13c498784116
1464bc6dd568
15362675eba0
hex1e878bc518

131123103000 has 128 divisors (see below), whose sum is σ = 411711318720. Its totient is φ = 34743321600.

The previous prime is 131123102969. The next prime is 131123103029. The reversal of 131123103000 is 301321131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331804 + ... + 610196.

Almost surely, 2131123103000 is an apocalyptic number.

131123103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205855659360).

131123103000 is an abundant number, since it is smaller than the sum of its proper divisors (280588215720).

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

131123103000 is a wasteful number, since it uses less digits than its factorization.

131123103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278574 (or 278560 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131123103000 its reverse (301321131), we get a palindrome (131424424131).

The spelling of 131123103000 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 157 200 250 300 314 375 471 500 600 628 750 785 942 1000 1256 1500 1570 1884 2355 3000 3140 3768 3925 4710 6280 7850 9420 11775 15700 18840 19625 23550 31400 39250 47100 58875 78500 94200 117750 157000 235500 278393 471000 556786 835179 1113572 1391965 1670358 2227144 2783930 3340716 4175895 5567860 6681432 6959825 8351790 11135720 13919650 16703580 20879475 27839300 33407160 34799125 41758950 43707701 55678600 69598250 83517900 87415402 104397375 131123103 139196500 167035800 174830804 208794750 218538505 262246206 278393000 349661608 417589500 437077010 524492412 655615515 835179000 874154020 1048984824 1092692525 1311231030 1748308040 2185385050 2622462060 3278077575 4370770100 5244924120 5463462625 6556155150 8741540200 10926925250 13112310300 16390387875 21853850500 26224620600 32780775750 43707701000 65561551500 131123103000