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21121271730 = 23251379228511
BaseRepresentation
bin10011101010111011…
…010000011110110010
32000111222101202220100
4103222323100132302
5321224021143410
613411502053230
71345255563456
oct235273203662
960458352810
1021121271730
118a59453079
12411557a216
131cb7a95830
1410451a0666
158394048c0
hex4eaed07b2

21121271730 has 96 divisors (see below), whose sum is σ = 59888424960. Its totient is φ = 5133248640.

The previous prime is 21121271723. The next prime is 21121271753. The reversal of 21121271730 is 3717212112.

It is a super-2 number, since 2×211212717302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121271694 and 21121271703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21826 + ... + 206685.

It is an arithmetic number, because the mean of its divisors is an integer number (623837760).

Almost surely, 221121271730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121271730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29944212480).

21121271730 is an abundant number, since it is smaller than the sum of its proper divisors (38767153230).

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

21121271730 is a wasteful number, since it uses less digits than its factorization.

21121271730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228616 (or 228613 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 21121271730 its reverse (3717212112), we get a palindrome (24838483842).

The spelling of 21121271730 in words is "twenty-one billion, one hundred twenty-one million, two hundred seventy-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 79 90 117 130 158 195 234 237 390 395 474 585 711 790 1027 1170 1185 1422 2054 2370 3081 3555 5135 6162 7110 9243 10270 15405 18486 30810 46215 92430 228511 457022 685533 1142555 1371066 2056599 2285110 2970643 3427665 4113198 5941286 6855330 8911929 10282995 14853215 17823858 18052369 20565990 26735787 29706430 36104738 44559645 53471574 54157107 89119290 90261845 108314214 133678935 162471321 180523690 234680797 267357870 270785535 324942642 469361594 541571070 704042391 812356605 1173403985 1408084782 1624713210 2112127173 2346807970 3520211955 4224254346 7040423910 10560635865 21121271730