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211210211012121 = 32601172122689089
BaseRepresentation
bin110000000001100000110101…
…100110011010111000011001
31000200211111110202101120201100
4300001200311212122320121
5210140432003004341441
62025112344220342013
762326301631600606
oct6001406546327031
91020744422346640
10211210211012121
1161330824971a52
121b831b543a4909
1390b1064330cb9
143a228b344b6ad
1519640e035ccb6
hexc0183599ae19

211210211012121 has 24 divisors (see below), whose sum is σ = 305766617181480. Its totient is φ = 140490832896000.

The previous prime is 211210211012117. The next prime is 211210211012159. The reversal of 211210211012121 is 121210112012112.

It is a happy number.

211210211012121 is a `hidden beast` number, since 211 + 210 + 2 + 110 + 12 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51306219562896 + 159903991449225 = 7162836^2 + 12645315^2 .

It is not a de Polignac number, because 211210211012121 - 22 = 211210211012117 is a prime.

It is a super-3 number, since 3×2112102110121213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211210211012094 and 211210211012103.

It is not an unprimeable number, because it can be changed into a prime (211210211012321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035656 + ... + 20653433.

It is an arithmetic number, because the mean of its divisors is an integer number (12740275715895).

Almost surely, 2211210211012121 is an apocalyptic number.

It is an amenable number.

211210211012121 is a deficient number, since it is larger than the sum of its proper divisors (94556406169359).

211210211012121 is a wasteful number, since it uses less digits than its factorization.

211210211012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22691417 (or 22691414 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211210211012121 its reverse (121210112012112), we get a palindrome (332420323024233).

Subtracting from 211210211012121 its reverse (121210112012112), we obtain a palindrome (90000099000009).

The spelling of 211210211012121 in words is "two hundred eleven trillion, two hundred ten billion, two hundred eleven million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 601 1721 1803 5163 5409 15489 1034321 3102963 9308889 22689089 68067267 204201801 13636142489 39047922169 40908427467 117143766507 122725282401 351431299521 23467801223569 70403403670707 211210211012121