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21212231220 = 223257113911941
BaseRepresentation
bin10011110000010110…
…001111011000110100
32000202022112222212100
4103300112033120310
5321420312344340
613424511422100
71350441663465
oct236026173064
960668488770
1021212231220
118aa582a304
12413bb24930
13200089240b
1410532bad6c
158423c0830
hex4f058f634

21212231220 has 144 divisors (see below), whose sum is σ = 65724946560. Its totient is φ = 5536339200.

The previous prime is 21212231207. The next prime is 21212231231. The reversal of 21212231220 is 2213221212.

21212231220 is a `hidden beast` number, since 2 + 1 + 212 + 231 + 220 = 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 = 21212231193 and 21212231202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770450 + ... + 1782390.

It is an arithmetic number, because the mean of its divisors is an integer number (456423240).

Almost surely, 221212231220 is an apocalyptic number.

21212231220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32862473280).

21212231220 is an abundant number, since it is smaller than the sum of its proper divisors (44512715340).

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

21212231220 is a wasteful number, since it uses less digits than its factorization.

21212231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21212231220 its reverse (2213221212), we get a palindrome (23425452432).

It can be divided in two parts, 212122 and 31220, that added together give a palindrome (243342).

The spelling of 21212231220 in words is "twenty-one billion, two hundred twelve million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 139 142 180 213 278 284 355 417 426 556 639 695 710 834 852 1065 1251 1278 1390 1420 1668 2085 2130 2502 2556 2780 3195 4170 4260 5004 6255 6390 8340 9869 11941 12510 12780 19738 23882 25020 29607 35823 39476 47764 49345 59214 59705 71646 88821 98690 107469 118428 119410 143292 148035 177642 179115 197380 214938 238820 296070 355284 358230 429876 444105 537345 592140 716460 847811 888210 1074690 1659799 1695622 1776420 2149380 2543433 3319598 3391244 4239055 4979397 5086866 6639196 7630299 8298995 8478110 9958794 10173732 12717165 14938191 15260598 16597990 16956220 19917588 24896985 25434330 29876382 30521196 33195980 38151495 49793970 50868660 59752764 74690955 76302990 99587940 117845729 149381910 152605980 235691458 298763820 353537187 471382916 589228645 707074374 1060611561 1178457290 1414148748 1767685935 2121223122 2356914580 3535371870 4242446244 5303057805 7070743740 10606115610 21212231220