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21334110120 = 2332570198443
BaseRepresentation
bin10011110111100111…
…001010111110101000
32001001210220002021200
4103313213022332220
5322143013010440
613444544004200
71353451641531
oct236747127650
961053802250
1021334110120
119058604774
124174900660
13201cbc65cb
141065565688
1584ce47c30
hex4f79cafa8

21334110120 has 96 divisors (see below), whose sum is σ = 69353949600. Its totient is φ = 5687611776.

The previous prime is 21334110097. The next prime is 21334110143. The reversal of 21334110120 is 2101143312.

21334110120 is a `hidden beast` number, since 2 + 133 + 411 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (21334110097) and next prime (21334110143).

It is a super-2 number, since 2×213341101202 (a number of 21 digits) contains 22 as substring.

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 = 21334110093 and 21334110102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2522619 + ... + 2531061.

It is an arithmetic number, because the mean of its divisors is an integer number (722436975).

Almost surely, 221334110120 is an apocalyptic number.

21334110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21334110120 is an abundant number, since it is smaller than the sum of its proper divisors (48019839480).

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

21334110120 is a wasteful number, since it uses less digits than its factorization.

21334110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15479 (or 15472 counting only the distinct ones).

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

Adding to 21334110120 its reverse (2101143312), we get a palindrome (23435253432).

The spelling of 21334110120 in words is "twenty-one billion, three hundred thirty-four million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7019 8443 14038 16886 21057 25329 28076 33772 35095 42114 42215 50658 56152 63171 67544 70190 75987 84228 84430 101316 105285 126342 126645 140380 151974 168456 168860 202632 210570 252684 253290 280760 303948 315855 337720 379935 421140 505368 506580 607896 631710 759870 842280 1013160 1263420 1519740 2526840 3039480 59261417 118522834 177784251 237045668 296307085 355568502 474091336 533352753 592614170 711137004 888921255 1066705506 1185228340 1422274008 1777842510 2133411012 2370456680 2666763765 3555685020 4266822024 5333527530 7111370040 10667055060 21334110120