Search a number
-
+
21003233300 = 22527611074597
BaseRepresentation
bin10011100011111000…
…111110100000010100
32000012202021210121122
4103203320332200110
5321003311431200
613352044103112
71342323352220
oct234370764024
960182253548
1021003233300
1189a8861055
1240a1b34a98
131c994a76ca
141033635780
1582dd8a385
hex4e3e3e814

21003233300 has 144 divisors (see below), whose sum is σ = 53448329088. Its totient is φ = 7015334400.

The previous prime is 21003233263. The next prime is 21003233333. The reversal of 21003233300 is 333230012.

It is a super-2 number, since 2×210032333002 (a number of 21 digits) contains 22 as substring.

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, 4566602 + ... + 4571198.

It is an arithmetic number, because the mean of its divisors is an integer number (371168952).

Almost surely, 221003233300 is an apocalyptic number.

21003233300 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 21003233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26724164544).

21003233300 is an abundant number, since it is smaller than the sum of its proper divisors (32445095788).

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

21003233300 is a wasteful number, since it uses less digits than its factorization.

21003233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 21003233300 its reverse (333230012), we get a palindrome (21336463312).

The spelling of 21003233300 in words is "twenty-one billion, three million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 107 122 140 175 214 244 305 350 427 428 535 610 700 749 854 1070 1220 1498 1525 1708 2135 2140 2675 2996 3050 3745 4270 4597 5350 6100 6527 7490 8540 9194 10675 10700 13054 14980 18388 18725 21350 22985 26108 32179 32635 37450 42700 45689 45970 64358 65270 74900 91378 91940 114925 128716 130540 160895 163175 182756 228445 229850 280417 321790 326350 456890 459700 491879 560834 643580 652700 804475 913780 983758 1121668 1142225 1402085 1608950 1962919 1967516 2284450 2459395 2804170 3217900 3443153 3925838 4568900 4918790 5608340 6886306 7010425 7851676 9814595 9837580 12296975 13772612 14020850 17215765 19629190 24593950 28041700 30004619 34431530 39258380 49072975 49187900 60009238 68863060 86078825 98145950 120018476 150023095 172157650 196291900 210032333 300046190 344315300 420064666 600092380 750115475 840129332 1050161665 1500230950 2100323330 3000461900 4200646660 5250808325 10501616650 21003233300