Search a number
-
+
20102001012009 = 3274611087636749
BaseRepresentation
bin1001001001000010111001…
…01000010010110100101001
32122011201210000100210100100
410210201130220102310221
510113322344224341014
6110430422021500013
74143215216225430
oct444413450226451
978151700323310
1020102001012009
116450235571074
122307a9b571609
13b2a7c2533347
144d6d28d5c117
1524cd74ad3009
hex12485ca12d29

20102001012009 has 48 divisors (see below), whose sum is σ = 33286885632000. Its totient is φ = 11451377911680.

The previous prime is 20102001012001. The next prime is 20102001012011. The reversal of 20102001012009 is 90021010020102.

It is not a de Polignac number, because 20102001012009 - 23 = 20102001012001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20102001011982 and 20102001012000.

It is not an unprimeable number, because it can be changed into a prime (20102001012001) 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, 31251367 + ... + 31888115.

It is an arithmetic number, because the mean of its divisors is an integer number (693476784000).

Almost surely, 220102001012009 is an apocalyptic number.

It is an amenable number.

20102001012009 is a deficient number, since it is larger than the sum of its proper divisors (13184884619991).

20102001012009 is a wasteful number, since it uses less digits than its factorization.

20102001012009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638310 (or 638307 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 20102001012009 in words is "twenty trillion, one hundred two billion, one million, twelve thousand, nine".

Divisors: 1 3 7 9 21 63 461 1087 1383 3227 3261 4149 7609 9681 9783 22827 29043 68481 501107 636749 1503321 1910247 3507749 4457243 4509963 5730741 10523247 13371729 31569741 40115187 293541289 692146163 880623867 2054789023 2076438489 2641871601 4845023141 6164367069 6229315467 14535069423 18493101207 43605208269 319079381143 957238143429 2233555668001 2871714430287 6700667004003 20102001012009