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103131110124 = 223273138334469
BaseRepresentation
bin110000000001100010…
…1111101101011101100
3100212012101101012212100
41200003011331223230
53142203031010444
6115213333335100
710310453654310
oct1400305755354
9325171335770
10103131110124
113a812906519
1217ba2497490
13995740ab23
144dc4c35b40
152a3907ae69
hex180317daec

103131110124 has 144 divisors (see below), whose sum is σ = 308357038080. Its totient is φ = 28440236160.

The previous prime is 103131109993. The next prime is 103131110149. The reversal of 103131110124 is 421011131301.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 103131110097 and 103131110106.

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, 2974762 + ... + 3009230.

It is an arithmetic number, because the mean of its divisors is an integer number (2141368320).

Almost surely, 2103131110124 is an apocalyptic number.

103131110124 is a gapful number since it is divisible by the number (14) 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 103131110124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154178519040).

103131110124 is an abundant number, since it is smaller than the sum of its proper divisors (205225927956).

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

103131110124 is a wasteful number, since it uses less digits than its factorization.

103131110124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34900 (or 34895 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103131110124 its reverse (421011131301), we get a palindrome (524142241425).

The spelling of 103131110124 in words is "one hundred three billion, one hundred thirty-one million, one hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 383 434 558 651 766 868 1116 1149 1302 1532 1953 2298 2604 2681 3447 3906 4596 5362 6894 7812 8043 10724 11873 13788 16086 23746 24129 32172 34469 35619 47492 48258 68938 71238 83111 96516 103407 106857 137876 142476 166222 206814 213714 241283 249333 310221 332444 413628 427428 482566 498666 620442 723849 747999 965132 997332 1068539 1240884 1447698 1495998 2137078 2171547 2895396 2991996 3205617 4274156 4343094 6411234 7479773 8686188 9616851 12822468 13201627 14959546 19233702 22439319 26403254 29919092 38467404 39604881 44878638 52806508 67317957 79209762 89757276 92411389 118814643 134635914 158419524 184822778 237629286 269271828 277234167 369645556 409250437 475258572 554468334 818500874 831702501 1108936668 1227751311 1637001748 1663405002 2455502622 2864753059 3326810004 3683253933 4911005244 5729506118 7366507866 8594259177 11459012236 14733015732 17188518354 25782777531 34377036708 51565555062 103131110124