Search a number
-
+
103131023112 = 233213911120947
BaseRepresentation
bin110000000001100010…
…1101000011100001000
3100212012101012210111200
41200003011220130020
53142203020214422
6115213331424200
710310453142525
oct1400305503410
9325171183450
10103131023112
113a812857107
1217ba2455060
1399573aa340
144dc4c1214c
152a390602ac
hex1803168708

103131023112 has 96 divisors (see below), whose sum is σ = 301131492480. Its totient is φ = 31697527680.

The previous prime is 103131023081. The next prime is 103131023197. The reversal of 103131023112 is 211320131301.

103131023112 is a `hidden beast` number, since 10 + 31 + 310 + 2 + 311 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 792223 + ... + 913169.

It is an arithmetic number, because the mean of its divisors is an integer number (3136786380).

Almost surely, 2103131023112 is an apocalyptic number.

103131023112 is a gapful number since it is divisible by the number (12) 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 103131023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150565746240).

103131023112 is an abundant number, since it is smaller than the sum of its proper divisors (198000469368).

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

103131023112 is a wasteful number, since it uses less digits than its factorization.

103131023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121883 (or 121876 counting only the distinct ones).

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

Adding to 103131023112 its reverse (211320131301), we get a palindrome (314451154413).

The spelling of 103131023112 in words is "one hundred three billion, one hundred thirty-one million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 911 936 1822 2733 3644 5466 7288 8199 10932 11843 16398 21864 23686 32796 35529 47372 65592 71058 94744 106587 120947 142116 213174 241894 284232 362841 426348 483788 725682 852696 967576 1088523 1451364 1572311 2177046 2902728 3144622 4354092 4716933 6289244 8708184 9433866 12578488 14150799 18867732 28301598 37735464 56603196 110182717 113206392 220365434 330548151 440730868 661096302 881461736 991644453 1322192604 1432375321 1983288906 2644385208 2864750642 3966577812 4297125963 5729501284 7933155624 8594251926 11459002568 12891377889 17188503852 25782755778 34377007704 51565511556 103131023112