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103410416005 = 51310138940493
BaseRepresentation
bin110000001001110111…
…1011011100110000101
3100212220211221102111121
41200103233123212011
53143241031303010
6115301152033541
710320415014211
oct1402357334605
9325824842447
10103410416005
113a946536126
121805bb328b1
1399a0241590
14500dd7d941
152a5384d3da
hex1813bdb985

103410416005 has 32 divisors (see below), whose sum is σ = 135311510880. Its totient is φ = 75412300800.

The previous prime is 103410416003. The next prime is 103410416047. The reversal of 103410416005 is 500614014301.

It can be written as a sum of positive squares in 16 ways, for example, as 46898666721 + 56511749284 = 216561^2 + 237722^2 .

It is not a de Polignac number, because 103410416005 - 21 = 103410416003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103410416003) 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 31 ways as a sum of consecutive naturals, for example, 2533539 + ... + 2574031.

It is an arithmetic number, because the mean of its divisors is an integer number (4228484715).

Almost surely, 2103410416005 is an apocalyptic number.

It is an amenable number.

103410416005 is a deficient number, since it is larger than the sum of its proper divisors (31901094875).

103410416005 is a wasteful number, since it uses less digits than its factorization.

103410416005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41001.

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 103410416005 in words is "one hundred three billion, four hundred ten million, four hundred sixteen thousand, five".

Divisors: 1 5 13 65 101 389 505 1313 1945 5057 6565 25285 39289 40493 196445 202465 510757 526409 2553785 2632045 4089793 15751777 20448965 53167309 78758885 204773101 265836545 1023865505 1590929477 7954647385 20682083201 103410416005