Search a number
-
+
200020102010001 = 32713379901666667
BaseRepresentation
bin101101011110101011001111…
…001000001101010010010001
3222020012201211211002222020100
4231132223033020031102101
5202204112132103310001
61545223544421203013
760062655406504620
oct5536531710152221
9866181754088210
10200020102010001
115880705a086a59
121a52529b560469
13877ba78b32160
14375704b6a16b7
15181ceadc5a586
hexb5eacf20d491

200020102010001 has 96 divisors (see below), whose sum is σ = 365239301143808. Its totient is φ = 102643097356800.

The previous prime is 200020102009969. The next prime is 200020102010009. The reversal of 200020102010001 is 100010201020002.

200020102010001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200020102010001 - 25 = 200020102009969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200020102010009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299696670 + ... + 300363336.

Almost surely, 2200020102010001 is an apocalyptic number.

200020102010001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200020102010001 is a deficient number, since it is larger than the sum of its proper divisors (165219199133807).

200020102010001 is a wasteful number, since it uses less digits than its factorization.

200020102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676631 (or 676628 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200020102010001 its reverse (100010201020002), we get a palindrome (300030303030003).

The spelling of 200020102010001 in words is "two hundred trillion, twenty billion, one hundred two million, ten thousand, one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 9901 10101 29703 30303 69307 89109 128713 207921 366337 386139 623763 666667 900991 1099011 1158417 2000001 2564359 2702973 3297033 4666669 4762381 6000003 7693077 8108919 8666671 14000007 14287143 23079231 24666679 26000013 33336667 42000021 42861429 60666697 74000037 78000039 100010001 172666753 182000091 222000111 300030003 320666827 518000259 546000273 962000481 1554000777 2244667789 2886001443 6600669967 6734003367 19802009901 20202010101 46204689769 59406029703 85808709571 138614069307 244224788779 257426128713 415842207921 600660966997 732674366337 772278386139 1709573521453 1801982900991 2198023099011 3174922254127 5128720564359 5405948702973 9524766762381 15386161693077 22224455778889 28574300287143 66673367336667 200020102010001