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4212121320 = 2332511296697
BaseRepresentation
bin1111101100001111…
…1101111011101000
3101212112211221012100
43323003331323220
532111300340240
61533544213400
7206244304041
oct37303757350
911775757170
104212121320
1118716a6100
1299676a260
13521860ca4
142bd5ad8c8
15199bc5e30
hexfb0fdee8

4212121320 has 144 divisors (see below), whose sum is σ = 15047175780. Its totient is φ = 1021109760.

The previous prime is 4212121313. The next prime is 4212121321. The reversal of 4212121320 is 231212124.

It is a happy number.

4212121320 is a `hidden beast` number, since 421 + 212 + 1 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4039619364 + 172501956 = 63558^2 + 13134^2 .

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 = 4212121293 and 4212121302.

It is not an unprimeable number, because it can be changed into a prime (4212121321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4789 + ... + 91908.

Almost surely, 24212121320 is an apocalyptic number.

4212121320 is a gapful number since it is divisible by the number (40) 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 4212121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523587890).

4212121320 is an abundant number, since it is smaller than the sum of its proper divisors (10835054460).

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

4212121320 is a wasteful number, since it uses less digits than its factorization.

4212121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96736 (or 96718 counting only the distinct ones).

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

The square root of 4212121320 is about 64900.8576214521. The cubic root of 4212121320 is about 1614.9792889701.

Adding to 4212121320 its reverse (231212124), we get a palindrome (4443333444).

The spelling of 4212121320 in words is "four billion, two hundred twelve million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 96697 193394 290091 386788 483485 580182 773576 870273 966970 1063667 1160364 1450455 1740546 1933940 2127334 2320728 2900910 3191001 3481092 3867880 4254668 4351365 5318335 5801820 6382002 6962184 8509336 8702730 9573003 10636670 11603640 11700337 12764004 15955005 17405460 19146006 21273340 23400674 25528008 31910010 34810920 35101011 38292012 42546680 46801348 47865015 58501685 63820020 70202022 76584024 93602696 95730030 105303033 117003370 127640040 140404044 175505055 191460060 210606066 234006740 280808088 351010110 382920120 421212132 468013480 526515165 702020220 842424264 1053030330 1404040440 2106060660 4212121320