Search a number
-
+
2102200201101 = 371121367019497
BaseRepresentation
bin11110100101110100111…
…001010110111110001101
321102222010221112222201110
4132211310321112332031
5233420301222413401
64245423142002233
7304610323611030
oct36456471267615
97388127488643
102102200201101
117405a1233600
1229b506716379
1312330cb45b50
1473a65c01017
1539a3a4739d6
hex1e974e56f8d

2102200201101 has 96 divisors (see below), whose sum is σ = 3792855032064. Its totient is φ = 1007791488000.

The previous prime is 2102200201007. The next prime is 2102200201133. The reversal of 2102200201101 is 1011020022012.

It is not a de Polignac number, because 2102200201101 - 211 = 2102200199053 is a prime.

It is a super-2 number, since 2×21022002011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102200201201) 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, 221349385 + ... + 221358881.

It is an arithmetic number, because the mean of its divisors is an integer number (39508906584).

Almost surely, 22102200201101 is an apocalyptic number.

2102200201101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102200201101 is a deficient number, since it is larger than the sum of its proper divisors (1690654830963).

2102200201101 is a wasteful number, since it uses less digits than its factorization.

2102200201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243 (or 16232 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2102200201101 its reverse (1011020022012), we get a palindrome (3113220223113).

The spelling of 2102200201101 in words is "two trillion, one hundred two billion, two hundred million, two hundred one thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 231 273 363 429 847 1001 1573 2541 3003 4719 6701 9497 11011 20103 28491 33033 46907 66479 73711 87113 104467 123461 140721 199437 221133 261339 313401 370383 515977 609791 731269 810821 864227 958243 1149137 1358071 1547931 1829373 2193807 2432463 2592681 2874729 3447411 4074213 5675747 6707701 8043959 9506497 10540673 14938781 17027241 20123103 24131877 28519491 31622019 44816343 63639397 73784711 104571467 190918191 221354133 313714401 445475779 700033367 827312161 1336427337 2100100101 2481936483 4900233569 5791185127 7700367037 9100433771 14700700707 17373555381 23101101111 27301301313 53902569259 63703036397 100104771481 161707707777 191109109191 300314314443 700733400367 2102200201101