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23211213120 = 263352686483
BaseRepresentation
bin10101100111011111…
…110000000101000000
32012220121222210112000
4111213133300011000
5340014032304440
614355120504000
71451124025164
oct254737600500
965817883460
1023211213120
119931140a67
1245b947b000
13225ba71244
1411a298cca4
1590cb31730
hex5677f0140

23211213120 has 112 divisors (see below), whose sum is σ = 81884032320. Its totient is φ = 6189654528.

The previous prime is 23211213119. The next prime is 23211213121. The reversal of 23211213120 is 2131211232.

23211213120 is a `hidden beast` number, since 232 + 1 + 121 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23211213119) and next prime (23211213121).

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 = 23211213093 and 23211213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23211213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334602 + ... + 1351881.

Almost surely, 223211213120 is an apocalyptic number.

23211213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23211213120 is an abundant number, since it is smaller than the sum of its proper divisors (58672819200).

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

23211213120 is a wasteful number, since it uses less digits than its factorization.

23211213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686509 (or 2686493 counting only the distinct ones).

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

Adding to 23211213120 its reverse (2131211232), we get a palindrome (25342424352).

The spelling of 23211213120 in words is "twenty-three billion, two hundred eleven million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 2686483 5372966 8059449 10745932 13432415 16118898 21491864 24178347 26864830 32237796 40297245 42983728 48356694 53729660 64475592 72535041 80594490 85967456 96713388 107459320 120891735 128951184 145070082 161188980 171934912 193426776 214918640 241783470 257902368 290140164 322377960 362675205 386853552 429837280 483566940 515804736 580280328 644755920 725350410 773707104 859674560 967133880 1160560656 1289511840 1450700820 1547414208 1934267760 2321121312 2579023680 2901401640 3868535520 4642242624 5802803280 7737071040 11605606560 23211213120