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21211210011222 = 2347119831729841
BaseRepresentation
bin1001101001010100111101…
…01000110101001001010110
32210002202211200210012010000
410310222132220311021112
510240011024230324342
6113040143444112130
74316313362162250
oct464523650651126
983082750705100
1021211210011222
116838695092510
122466a5b395646
13bab29317707a
145348b14c2cd0
1526bb43c9644c
hex134a9ea35256

21211210011222 has 160 divisors (see below), whose sum is σ = 59317029471744. Its totient is φ = 5503797331200.

The previous prime is 21211210011053. The next prime is 21211210011223. The reversal of 21211210011222 is 22211001211212.

21211210011222 is a `hidden beast` number, since 21 + 211 + 210 + 0 + 1 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211210011195 and 21211210011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211210011223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11397022 + ... + 13126862.

Almost surely, 221211210011222 is an apocalyptic number.

21211210011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211210011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29658514735872).

21211210011222 is an abundant number, since it is smaller than the sum of its proper divisors (38105819460522).

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

21211210011222 is a wasteful number, since it uses less digits than its factorization.

21211210011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730856 (or 1730847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211210011222 its reverse (22211001211212), we get a palindrome (43422211222434).

The spelling of 21211210011222 in words is "twenty-one trillion, two hundred eleven billion, two hundred ten million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 983 1134 1386 1782 1966 2079 2949 4158 5898 6237 6881 8847 10813 12474 13762 17694 20643 21626 26541 32439 41286 53082 61929 64878 75691 79623 97317 123858 151382 159246 185787 194634 227073 291951 371574 454146 557361 583902 681219 875853 1114722 1362438 1729841 1751706 2043657 3459682 4087314 5189523 6130971 10379046 12108887 12261942 15568569 19028251 24217774 31137138 36326661 38056502 46705707 57084753 72653322 93411414 108979983 114169506 133197757 140117121 171254259 217959966 266395514 280234242 326939949 342508518 399593271 513762777 653879898 799186542 980819847 1027525554 1198779813 1541288331 1700433703 1961639694 2397559626 3082576662 3400867406 3596339439 5101301109 7192678878 10202602218 10789018317 11903035921 15303903327 18704770733 21578036634 23806071842 30607806654 35709107763 37409541466 45911709981 56114312199 71418215526 91823419962 107127323289 112228624398 130933395131 137735129943 168342936597 214254646578 261866790262 275470259886 321381969867 336685873194 392800185393 505028809791 642763939734 785600370786 964145909601 1010057619582 1178400556179 1515086429373 1928291819202 2356801112358 3030172858746 3535201668537 7070403337074 10605605005611 21211210011222