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21033233320 = 23511195942643
BaseRepresentation
bin10011100101101011…
…011010101110101000
32000021211201221220111
4103211223122232220
5321034001431240
613355035104104
71343136350641
oct234553325650
960254657814
1021033233320
118a13791560
1240abba2034
131ca277c6b8
1410376046c8
158318141ea
hex4e5adaba8

21033233320 has 128 divisors (see below), whose sum is σ = 55266624000. Its totient is φ = 7122919680.

The previous prime is 21033233311. The next prime is 21033233321. The reversal of 21033233320 is 2333233012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21033233291 and 21033233300.

It is not an unprimeable number, because it can be changed into a prime (21033233321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471919 + ... + 514561.

It is an arithmetic number, because the mean of its divisors is an integer number (431770500).

Almost surely, 221033233320 is an apocalyptic number.

21033233320 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 21033233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27633312000).

21033233320 is an abundant number, since it is smaller than the sum of its proper divisors (34233390680).

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

21033233320 is a wasteful number, since it uses less digits than its factorization.

21033233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42743 (or 42739 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 21033233320 its reverse (2333233012), we get a palindrome (23366466332).

The spelling of 21033233320 in words is "twenty-one billion, thirty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 59 76 88 95 110 118 152 190 209 220 236 295 380 418 440 472 590 649 760 836 1045 1121 1180 1298 1672 2090 2242 2360 2596 3245 4180 4484 5192 5605 6490 8360 8968 11210 12331 12980 22420 24662 25960 42643 44840 49324 61655 85286 98648 123310 170572 213215 246620 341144 426430 469073 493240 810217 852860 938146 1620434 1705720 1876292 2345365 2515937 3240868 3752584 4051085 4690730 5031874 6481736 8102170 8912387 9381460 10063748 12579685 16204340 17824774 18762920 20127496 25159370 27675307 32408680 35649548 44561935 47802803 50318740 55350614 71299096 89123870 95605606 100637480 110701228 138376535 178247740 191211212 221402456 239014015 276753070 356495480 382422424 478028030 525830833 553506140 956056060 1051661666 1107012280 1912112120 2103323332 2629154165 4206646664 5258308330 10516616660 21033233320