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1200103113105 = 3251310339235077
BaseRepresentation
bin10001011101101011101…
…110000100000110010001
311020201200020201210120100
4101131223232010012101
5124130302344104410
62315153022403013
7152463450102231
oct21355356040621
94221606653510
101200103113105
11422a62a14536
12174708130469
1389227a7b490
144212a0c9cc1
152133dca78c0
hex1176bb84191

1200103113105 has 96 divisors (see below), whose sum is σ = 2262964144896. Its totient is φ = 584819523072.

The previous prime is 1200103113103. The next prime is 1200103113133. The reversal of 1200103113105 is 5013113010021.

It is not a de Polignac number, because 1200103113105 - 21 = 1200103113103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1200103113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236377827 + ... + 236382903.

It is an arithmetic number, because the mean of its divisors is an integer number (23572543176).

Almost surely, 21200103113105 is an apocalyptic number.

1200103113105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1200103113105 is a deficient number, since it is larger than the sum of its proper divisors (1062861031791).

1200103113105 is a wasteful number, since it uses less digits than its factorization.

1200103113105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 1200103113105 its reverse (5013113010021), we get a palindrome (6213216123126).

The spelling of 1200103113105 in words is "one trillion, two hundred billion, one hundred three million, one hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 103 117 195 309 515 585 927 1339 1545 3923 4017 4635 5077 6695 11769 12051 15231 19615 20085 25385 35307 45693 50999 58845 60255 66001 76155 152997 176535 198003 228465 254995 330005 404069 458991 522931 594009 764985 990015 1212207 1568793 2020345 2294955 2614655 2970045 3636621 4706379 5252897 6061035 6798103 7843965 15758691 18183105 19917071 20394309 23531895 26264485 33990515 47276073 59751213 61182927 78793455 99585355 101971545 179253639 236380365 258921923 298756065 305914635 776765769 896268195 1294609615 2051458313 2330297307 3883828845 6154374939 10257291565 11651486535 18463124817 26668958069 30771874695 80006874207 92315624085 133344790345 240020622621 400034371035 1200103113105