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211202202002121 = 321159113691746261
BaseRepresentation
bin110000000001011001011000…
…001110011110001011001001
31000200210201210121000201102100
4300001121120032132023021
5210140314102203031441
62025104541355424013
762325566311253331
oct6001313016361311
91020721717021370
10211202202002121
1161328395000220
121b83049a155009
1390b0388c84b25
143a223538ba0c1
151963cc2182cb6
hexc0165839e2c9

211202202002121 has 96 divisors (see below), whose sum is σ = 341496032192640. Its totient is φ = 124697538201600.

The previous prime is 211202202002093. The next prime is 211202202002131. The reversal of 211202202002121 is 121200202202112.

It is a happy number.

211202202002121 is a `hidden beast` number, since 2 + 1 + 120 + 220 + 200 + 2 + 121 = 666.

It is not a de Polignac number, because 211202202002121 - 247 = 70464713646793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211202202002094 and 211202202002103.

It is not an unprimeable number, because it can be changed into a prime (211202202002131) 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, 4565425131 + ... + 4565471391.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250335340).

Almost surely, 2211202202002121 is an apocalyptic number.

It is an amenable number.

211202202002121 is a deficient number, since it is larger than the sum of its proper divisors (130293830190519).

211202202002121 is a wasteful number, since it uses less digits than its factorization.

211202202002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53367 (or 53364 counting only the distinct ones).

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

Adding to 211202202002121 its reverse (121200202202112), we get a palindrome (332402404204233).

The spelling of 211202202002121 in words is "two hundred eleven trillion, two hundred two billion, two hundred two million, two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 59 99 113 177 339 531 649 1017 1243 1947 3729 5841 6667 6917 11187 20001 20751 46261 60003 62253 73337 76087 138783 220011 228261 408103 416349 508871 660033 684783 781621 1224309 1526613 2344863 2729399 3672927 4489133 4579839 5227493 7034589 8188197 8597831 13467399 15682479 24564591 25793493 30023389 40402197 46115639 47047437 57502423 77380479 90070167 138346917 172507269 270210501 308422087 319987337 415040751 507272029 517521807 925266261 959962011 1521816087 2775798783 2879886033 3392642957 3519860707 4565448261 10177928871 10559582121 18879252883 30533786613 31678746363 36158569081 56637758649 108475707243 169913275947 207671781713 325427121729 397744259891 623015345139 1193232779673 1869046035417 2133355575779 3579698339019 6400066727337 19200200182011 23466911333569 70400734000707 211202202002121