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2201021133102 = 2331115725919109
BaseRepresentation
bin100000000001110111000…
…101010011000100101110
321210102012221120110202000
4200001313011103010232
5242030142402224402
64403045105313130
7315006232641351
oct40016705230456
97712187513660
102201021133102
117794a205a440
122b66a56357a6
1312c72b2ac7cc
147875c420298
153c3c0e09c1c
hex2007715312e

2201021133102 has 128 divisors (see below), whose sum is σ = 5372457062400. Its totient is φ = 662399337600.

The previous prime is 2201021133083. The next prime is 2201021133107. The reversal of 2201021133102 is 2013311201022.

2201021133102 is a `hidden beast` number, since 220 + 102 + 11 + 331 + 0 + 2 = 666.

It is a super-2 number, since 2×22010211331022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201021133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241626924 + ... + 241636032.

It is an arithmetic number, because the mean of its divisors is an integer number (41972320800).

Almost surely, 22201021133102 is an apocalyptic number.

2201021133102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201021133102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686228531200).

2201021133102 is an abundant number, since it is smaller than the sum of its proper divisors (3171435929298).

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

2201021133102 is a wasteful number, since it uses less digits than its factorization.

2201021133102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2201021133102 its reverse (2013311201022), we get a palindrome (4214332334124).

It can be divided in two parts, 22010 and 21133102, that added together give a palindrome (21155112).

The spelling of 2201021133102 in words is "two trillion, two hundred one billion, twenty-one million, one hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 942 1413 1727 2591 2826 3454 4239 5181 5182 7773 8478 9109 10362 15543 15546 18218 23319 27327 28501 31086 46629 46638 54654 57002 69957 81981 85503 93258 100199 139914 163962 171006 200398 245943 256509 300597 406787 491886 513018 601194 769527 813574 901791 1220361 1430113 1539054 1803582 2440722 2705373 2860226 3661083 4290339 4474657 5410746 7322166 8580678 8949314 10983249 12871017 13423971 15731243 21966498 23601419 25742034 26847942 31462486 38613051 40271913 47193729 47202838 70804257 77226102 80543826 94387458 120815739 141581187 141608514 212412771 241631478 259615609 283162374 424743561 424825542 519231218 637238313 778846827 849487122 1274476626 1557693654 2336540481 3705422783 4673080962 7009621443 7410845566 11116268349 14019242886 22232536698 33348805047 40759650613 66697610094 81519301226 100046415141 122278951839 200092830282 244557903678 366836855517 733673711034 1100510566551 2201021133102