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221330104110 = 23257138989041
BaseRepresentation
bin1100111000100001001…
…1010101111100101110
3210011021212122020120100
43032020103111330232
512111241001312420
6245402212131530
721663523562313
oct3161023257456
9704255566510
10221330104110
118595808a115
1236a8b006ba6
1317b4344225b
14a9d8cc2d0a
155b55d7a190
hex33884d5f2e

221330104110 has 96 divisors (see below), whose sum is σ = 585070050240. Its totient is φ = 58039833600.

The previous prime is 221330104043. The next prime is 221330104141. The reversal of 221330104110 is 11401033122.

221330104110 is a `hidden beast` number, since 2 + 213 + 30 + 10 + 411 + 0 = 666.

221330104110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2441190 + ... + 2530230.

It is an arithmetic number, because the mean of its divisors is an integer number (6094479690).

Almost surely, 2221330104110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221330104110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292535025120).

221330104110 is an abundant number, since it is smaller than the sum of its proper divisors (363739946130).

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

221330104110 is a wasteful number, since it uses less digits than its factorization.

221330104110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89514 (or 89511 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221330104110 its reverse (11401033122), we get a palindrome (232731137232).

The spelling of 221330104110 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 389 426 639 710 778 1065 1167 1278 1945 2130 2334 3195 3501 3890 5835 6390 7002 11670 17505 27619 35010 55238 82857 89041 138095 165714 178082 248571 267123 276190 414285 445205 497142 534246 801369 828570 890410 1242855 1335615 1602738 2485710 2671230 4006845 6321911 8013690 12643822 18965733 31609555 34636949 37931466 56897199 63219110 69273898 94828665 103910847 113794398 173184745 189657330 207821694 284485995 311732541 346369490 519554235 568971990 623465082 1039108470 1558662705 2459223379 3117325410 4918446758 7377670137 12296116895 14755340274 22133010411 24592233790 36888350685 44266020822 73776701370 110665052055 221330104110