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211202212002201 = 32713146795469323
BaseRepresentation
bin110000000001011001011000…
…110100100111100110011001
31000200210201211021211202221200
4300001121120310213212121
5210140314112233032301
62025104542354024413
762325566462253150
oct6001313064474631
91020721737752850
10211202212002201
116132839a710452
121b8304a1578109
1390b038b076734
143a22354d60597
151963cc2eaac86
hexc01658d27999

211202212002201 has 48 divisors (see below), whose sum is σ = 351387877800960. Its totient is φ = 119740085318880.

The previous prime is 211202212002193. The next prime is 211202212002211. The reversal of 211202212002201 is 102200212202112.

It is a happy number.

211202212002201 is a `hidden beast` number, since 2 + 1 + 1 + 20 + 221 + 200 + 220 + 1 = 666.

It is not a de Polignac number, because 211202212002201 - 23 = 211202212002193 is a prime.

It is a super-2 number, since 2×2112022120022012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211202212002211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35881126 + ... + 41350448.

It is an arithmetic number, because the mean of its divisors is an integer number (7320580787520).

Almost surely, 2211202212002201 is an apocalyptic number.

211202212002201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211202212002201 is a deficient number, since it is larger than the sum of its proper divisors (140185665798759).

211202212002201 is a wasteful number, since it uses less digits than its factorization.

211202212002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474146 (or 5474143 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211202212002201 its reverse (102200212202112), we get a palindrome (313402424204313).

The spelling of 211202212002201 in words is "two hundred eleven trillion, two hundred two billion, two hundred twelve million, two thousand, two hundred one".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 4679 8253 14037 32753 42111 98259 294777 612949 1838847 4290643 5469323 5516541 12871929 16407969 38285261 38615787 49223907 114855783 344567349 716481313 2149443939 5015369191 6448331817 15046107573 25590962317 45138322719 76772886951 179136736219 230318660853 537410208657 1612230625971 3352416063527 10057248190581 23466912444689 30171744571743 70400737334067 211202212002201