Search a number
-
+
1006010500600 = 235275313558093
BaseRepresentation
bin11101010001110101110…
…01100000010111111000
310120011200121020111021101
432220322321200113320
5112440302142004400
62050053240221144
7132452610110260
oct16507271402770
93504617214241
101006010500600
11358712778a66
12142b7aa6a7b4
1373b3559cc81
14369967ca7a0
151b27e27556a
hexea3ae605f8

1006010500600 has 96 divisors (see below), whose sum is σ = 2723549922720. Its totient is φ = 338409976320.

The previous prime is 1006010500597. The next prime is 1006010500631. The reversal of 1006010500600 is 60050106001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6704847 + ... + 6853246.

It is an arithmetic number, because the mean of its divisors is an integer number (28370311695).

Almost surely, 21006010500600 is an apocalyptic number.

1006010500600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006010500600 is an abundant number, since it is smaller than the sum of its proper divisors (1717539422120).

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

1006010500600 is a wasteful number, since it uses less digits than its factorization.

1006010500600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558169 (or 13558160 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 1006010500600 its reverse (60050106001), we get a palindrome (1066060606601).

The spelling of 1006010500600 in words is "one trillion, six billion, ten million, five hundred thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 742 1060 1325 1400 1484 1855 2120 2650 2968 3710 5300 7420 9275 10600 14840 18550 37100 74200 13558093 27116186 54232372 67790465 94906651 108464744 135580930 189813302 271161860 338952325 379626604 474533255 542323720 677904650 718578929 759253208 949066510 1355809300 1437157858 1898133020 2372666275 2711618600 2874315716 3592894645 3796266040 4745332550 5030052503 5748631432 7185789290 9490665100 10060105006 14371578580 17964473225 18981330200 20120210012 25150262515 28743157160 35928946450 40240420024 50300525030 71857892900 100601050060 125751312575 143715785800 201202100120 251502625150 503005250300 1006010500600