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211200122172 = 223134179417983
BaseRepresentation
bin1100010010110010000…
…0100001110100111100
3202012010220021211202010
43010230200201310330
511430014212402142
6241005103331220
721154510263264
oct3045440416474
9665126254663
10211200122172
1181629a65816
1234b225b0b10
1316bba8445c0
14a3177a67a4
155761893e9c
hex312c821d3c

211200122172 has 96 divisors (see below), whose sum is σ = 550535086080. Its totient is φ = 62596984320.

The previous prime is 211200122171. The next prime is 211200122179. The reversal of 211200122172 is 271221002112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200122171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296293 + ... + 714275.

It is an arithmetic number, because the mean of its divisors is an integer number (5734740480).

Almost surely, 2211200122172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200122172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275267543040).

211200122172 is an abundant number, since it is smaller than the sum of its proper divisors (339334963908).

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

211200122172 is a wasteful number, since it uses less digits than its factorization.

211200122172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418123 (or 418121 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 211200122172 its reverse (271221002112), we get a palindrome (482421124284).

The spelling of 211200122172 in words is "two hundred eleven billion, two hundred million, one hundred twenty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 79 82 123 156 158 164 237 246 316 474 492 533 948 1027 1066 1599 2054 2132 3081 3198 3239 4108 6162 6396 6478 9717 12324 12956 19434 38868 42107 84214 126321 168428 252642 417983 505284 835966 1253949 1671932 2507898 5015796 5433779 10867558 16301337 17137303 21735116 32602674 33020657 34274606 51411909 65205348 66041314 68549212 99061971 102823818 132082628 198123942 205647636 222784939 396247884 429268541 445569878 668354817 858537082 891139756 1287805623 1336709634 1353846937 1717074164 2575611246 2673419268 2707693874 4061540811 5151222492 5415387748 8123081622 16246163244 17600010181 35200020362 52800030543 70400040724 105600061086 211200122172