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103516812 = 22337231631
BaseRepresentation
bin1100010101110…
…00101010001100
321012210012101000
412022320222030
5203000014222
614134420300
72364610200
oct612705214
9235705330
10103516812
1153483793
122a801690
13185a5469
14da68b00
15914b9ac
hex62b8a8c

103516812 has 144 divisors (see below), whose sum is σ = 322775040. Its totient is φ = 28576800.

The previous prime is 103516801. The next prime is 103516871. The reversal of 103516812 is 218615301.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 163737 + ... + 164367.

Almost surely, 2103516812 is an apocalyptic number.

103516812 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 103516812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161387520).

103516812 is an abundant number, since it is smaller than the sum of its proper divisors (219258228).

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

103516812 is a wasteful number, since it uses less digits than its factorization.

103516812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 103516812 is about 10174.3212058594. The cubic root of 103516812 is about 469.5375139721.

The spelling of 103516812 in words is "one hundred three million, five hundred sixteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 631 651 756 837 868 882 1116 1262 1302 1323 1519 1674 1764 1893 1953 2524 2604 2646 3038 3348 3786 3906 4417 4557 5292 5679 5859 6076 7572 7812 8834 9114 11358 11718 13251 13671 17037 17668 18228 19561 22716 23436 26502 27342 30919 34074 39122 39753 41013 53004 54684 58683 61838 68148 78244 79506 82026 92757 117366 119259 123676 136927 159012 164052 176049 185514 234732 238518 273854 278271 352098 371028 410781 477036 528147 547708 556542 704196 821562 834813 958489 1056294 1113084 1232343 1643124 1669626 1916978 2112588 2464686 2875467 3339252 3697029 3833956 4929372 5750934 7394058 8626401 11501868 14788116 17252802 25879203 34505604 51758406 103516812