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211121011122021 = 337111310301758323
BaseRepresentation
bin110000000000001101110000…
…110111110101111101100101
31000200111222020021001200001000
4300000031300313311331211
5210133001312321401041
62025003353101223513
762316663316206150
oct6000156067657545
91020458207050030
10211121011122021
11612a6a10957310
121b8187bb561b99
1390a581a1cc940
143a1c450906c97
151961b1e37abb6
hexc00370df5f65

211121011122021 has 128 divisors (see below), whose sum is σ = 419986766868480. Its totient is φ = 101226887136000.

The previous prime is 211121011122019. The next prime is 211121011122089. The reversal of 211121011122021 is 120221110121112.

It is a happy number.

211121011122021 is a `hidden beast` number, since 211 + 1 + 210 + 1 + 1 + 1 + 220 + 21 = 666.

211121011122021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211121011122021 - 21 = 211121011122019 is a prime.

It is a super-2 number, since 2×2111210111220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211121011121985 and 211121011122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121011122121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278025966 + ... + 278784288.

It is an arithmetic number, because the mean of its divisors is an integer number (3281146616160).

Almost surely, 2211121011122021 is an apocalyptic number.

211121011122021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211121011122021 is a deficient number, since it is larger than the sum of its proper divisors (208865755746459).

211121011122021 is a wasteful number, since it uses less digits than its factorization.

211121011122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768664 (or 768658 counting only the distinct ones).

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

Adding to 211121011122021 its reverse (120221110121112), we get a palindrome (331342121243133).

It can be divided in two parts, 2111210 and 11122021, that added together give a palindrome (13233231).

The spelling of 211121011122021 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 189 231 273 297 351 429 693 819 1001 1287 2079 2457 3003 3861 9009 10301 27027 30903 72107 92709 113311 133913 216321 278127 339933 401739 648963 758323 793177 937391 1019799 1205217 1473043 1946889 2274969 2379531 2812173 3059397 3615651 4419129 5308261 6824907 7138593 8341553 8436519 9858199 10311301 13257387 15924783 20474721 21415779 25024659 25309557 29574597 30933903 39772161 47774349 58390871 69007393 75073977 88723791 92801709 108440189 143323047 175172613 207022179 225221931 266171373 278405127 325320567 525517839 621066537 759081323 975961701 1576553517 1863199611 2277243969 2927885103 6831731907 7811485223 20495195721 23434455669 54680396561 70303367007 85926337453 101549307899 164041189683 210910101021 257779012359 304647923697 492123569049 601484362171 710845155293 773337037077 913943771091 1117042386889 1476370707147 1804453086513 2132535465879 2320011111231 2741831313273 3351127160667 5413359259539 6397606397637 7819296708223 10053381482001 16240077778617 19192819192911 23457890124669 30160144446003 70373670374007 211121011122021