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103036116 = 223174197127
BaseRepresentation
bin1100010010000…
…11010011010100
321011212202222110
412021003103110
5202334123431
614120231020
72360535561
oct611032324
9234782873
10103036116
1153185617
122a60b470
1318467721
14d981868
1590a4346
hex62434d4

103036116 has 96 divisors (see below), whose sum is σ = 265531392. Its totient is φ = 30965760.

The previous prime is 103036103. The next prime is 103036139. The reversal of 103036116 is 611630301.

It is a junction number, because it is equal to n+sod(n) for n = 103036092 and 103036101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811245 + ... + 811371.

It is an arithmetic number, because the mean of its divisors is an integer number (2765952).

Almost surely, 2103036116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103036116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

103036116 is an abundant number, since it is smaller than the sum of its proper divisors (162495276).

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

103036116 is a wasteful number, since it uses less digits than its factorization.

103036116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 103036116 is about 10150.6707167556. The cubic root of 103036116 is about 468.8095965471.

Adding to 103036116 its reverse (611630301), we get a palindrome (714666417).

The spelling of 103036116 in words is "one hundred three million, thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 97 102 123 127 164 194 204 246 254 291 381 388 492 508 582 697 762 1164 1394 1524 1649 2091 2159 2788 3298 3977 4182 4318 4947 5207 6477 6596 7954 8364 8636 9894 10414 11931 12319 12954 15621 15908 19788 20828 23862 24638 25908 31242 36957 47724 49276 62484 67609 73914 88519 135218 147828 177038 202827 209423 265557 270436 354076 405654 418846 505079 531114 628269 811308 837692 1010158 1062228 1256538 1515237 2020316 2513076 3030474 6060948 8586343 17172686 25759029 34345372 51518058 103036116