Search a number
-
+
106501207065 = 3511272780713
BaseRepresentation
bin110001100101111110…
…1110111010000011001
3101011220020210212202120
41203023331313100121
53221103302111230
6120532002251453
710460125215651
oct1431375672031
9334806725676
10106501207065
1141192178200
1218783056b89
13a073693b26
14522465b361
152b84d78310
hex18cbf77419

106501207065 has 48 divisors (see below), whose sum is σ = 187561256064. Its totient is φ = 51565282560.

The previous prime is 106501207031. The next prime is 106501207067. The reversal of 106501207065 is 560702105601.

It is not a de Polignac number, because 106501207065 - 28 = 106501206809 is a prime.

It is a super-2 number, since 2×1065012070652 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106501207067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279149 + ... + 1359861.

It is an arithmetic number, because the mean of its divisors is an integer number (3907526168).

Almost surely, 2106501207065 is an apocalyptic number.

106501207065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106501207065 is a deficient number, since it is larger than the sum of its proper divisors (81060048999).

106501207065 is a wasteful number, since it uses less digits than its factorization.

106501207065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81470 (or 81459 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 106501207065 in words is "one hundred six billion, five hundred one million, two hundred seven thousand, sixty-five".

Divisors: 1 3 5 11 15 33 55 121 165 363 605 727 1815 2181 3635 7997 10905 23991 39985 80713 87967 119955 242139 263901 403565 439835 887843 1210695 1319505 2663529 4439215 9766273 13317645 29298819 48831365 58678351 146494095 176035053 293391755 645461861 880175265 1936385583 3227309305 7100080471 9681927915 21300241413 35500402355 106501207065