Search a number
-
+
2103200013201 = 37253619374723
BaseRepresentation
bin11110100110110000011…
…111010101101110010001
321110001201121212201002020
4132212300133111232101
5233424323200410301
64250110255242053
7304644154100100
oct36466037255621
97401647781066
102103200013201
11740a646391a1
1229b745519329
1312343c018641
1473b1c900037
1539a98119436
hex1e9b07d5b91

2103200013201 has 96 divisors (see below), whose sum is σ = 3382462758528. Its totient is φ = 1158339087360.

The previous prime is 2103200013193. The next prime is 2103200013217. The reversal of 2103200013201 is 1023100023012.

It is not a de Polignac number, because 2103200013201 - 23 = 2103200013193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2103200013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 445307826 + ... + 445312548.

It is an arithmetic number, because the mean of its divisors is an integer number (35233987068).

Almost surely, 22103200013201 is an apocalyptic number.

2103200013201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2103200013201 is a deficient number, since it is larger than the sum of its proper divisors (1279262745327).

2103200013201 is a wasteful number, since it uses less digits than its factorization.

2103200013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2103200013201 its reverse (1023100023012), we get a palindrome (3126300036213).

The spelling of 2103200013201 in words is "two trillion, one hundred three billion, two hundred million, thirteen thousand, two hundred one".

Divisors: 1 3 7 21 49 53 61 147 159 183 371 427 937 1113 1281 2597 2811 2989 3233 4723 6559 7791 8967 9699 14169 19677 22631 33061 45913 49661 57157 67893 99183 137739 148983 158417 171471 231427 250319 288103 347627 400099 475251 694281 750957 864309 1042881 1200297 1752233 2016721 2433389 2800693 3029321 4425451 5256699 6050163 7300167 8402079 9087963 12265631 13276353 14117047 15269459 21205247 30978157 36796893 42351141 45808377 63615741 92934471 106886213 148436729 216847099 234548903 269952511 320658639 445310187 650541297 703646709 748203491 809857533 1641842321 1889667577 2244610473 4925526963 5669002731 11492896247 13227673039 14307483083 34478688741 39683019117 42922449249 100152381581 300457144743 701066671067 2103200013201