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103411310112 = 253211152321433
BaseRepresentation
bin110000001001111001…
…0110101111000100000
3100212220220121211222200
41200103302311320200
53143241243410422
6115301223133200
710320425430015
oct1402362657040
9325826554880
10103411310112
113a946a96960
12180602a4200
1399a0495536
14501013370c
152a539782ac
hex1813cb5e20

103411310112 has 144 divisors (see below), whose sum is σ = 321035708448. Its totient is φ = 31314723840.

The previous prime is 103411310053. The next prime is 103411310113. The reversal of 103411310112 is 211013114301.

It is a happy number.

103411310112 is a `hidden beast` number, since 1 + 0 + 341 + 1 + 310 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (103411310113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4814148 + ... + 4835580.

It is an arithmetic number, because the mean of its divisors is an integer number (2229414642).

Almost surely, 2103411310112 is an apocalyptic number.

103411310112 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 103411310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160517854224).

103411310112 is an abundant number, since it is smaller than the sum of its proper divisors (217624398336).

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

103411310112 is a wasteful number, since it uses less digits than its factorization.

103411310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22983 (or 22972 counting only the distinct ones).

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

Adding to 103411310112 its reverse (211013114301), we get a palindrome (314424424413).

The spelling of 103411310112 in words is "one hundred three billion, four hundred eleven million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1523 1584 3046 3168 4569 6092 9138 12184 13707 16753 18276 21433 24368 27414 33506 36552 42866 48736 50259 54828 64299 67012 73104 85732 100518 109656 128598 134024 146208 150777 171464 192897 201036 219312 235763 257196 268048 301554 342928 385794 402072 438624 471526 514392 536096 603108 685856 707289 771588 804144 943052 1028784 1206216 1414578 1543176 1608288 1886104 2057568 2121867 2412432 2829156 3086352 3772208 4243734 4824864 5658312 6172704 7544416 8487468 11316624 16974936 22633248 32642459 33949872 65284918 67899744 97927377 130569836 195854754 261139672 293782131 359067049 391709508 522279344 587564262 718134098 783419016 1044558688 1077201147 1175128524 1436268196 1566838032 2154402294 2350257048 2872536392 3133676064 3231603441 4308804588 4700514096 5745072784 6463206882 8617609176 9401028192 11490145568 12926413764 17235218352 25852827528 34470436704 51705655056 103411310112