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103410144145 = 57211106336097
BaseRepresentation
bin110000001001110111…
…0011001001110010001
3100212220211102121120201
41200103232121032101
53143240444103040
6115301142135201
710320412502500
oct1402356311621
9325824377521
10103410144145
113a94636a950
121805ba21501
1399a0177909
14500dd0c837
152a537e7a9a
hex1813b99391

103410144145 has 48 divisors (see below), whose sum is σ = 157627548288. Its totient is φ = 64401039360.

The previous prime is 103410144121. The next prime is 103410144161. The reversal of 103410144145 is 541441014301.

It is not a de Polignac number, because 103410144145 - 219 = 103409619857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846737 + ... + 2882833.

It is an arithmetic number, because the mean of its divisors is an integer number (3283907256).

Almost surely, 2103410144145 is an apocalyptic number.

It is an amenable number.

103410144145 is a deficient number, since it is larger than the sum of its proper divisors (54217404143).

103410144145 is a wasteful number, since it uses less digits than its factorization.

103410144145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37190 (or 37183 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 103410144145 its reverse (541441014301), we get a palindrome (644851158446).

It can be divided in two parts, 1034101 and 44145, that added together give a triangular number (1078246 = T1468).

The spelling of 103410144145 in words is "one hundred three billion, four hundred ten million, one hundred forty-four thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 49 55 77 245 385 539 1063 2695 5315 7441 11693 36097 37205 52087 58465 81851 180485 252679 260435 397067 409255 572957 1263395 1768753 1985335 2779469 2864785 8843765 13897345 19456283 38371111 97281415 191855555 268597777 422082221 1342988885 1880184439 2110411105 2954575547 9400922195 14772877735 20682028829 103410144145