Search a number
-
+
21033300323100 = 223521337145760917
BaseRepresentation
bin1001100100001001100100…
…11001001110101100011100
32202110202121212022121200210
410302010302121032230130
510224102144340314400
6112422321554052420
74300414534606002
oct462046231165434
982422555277623
1021033300323100
11677a19977160a
12243848987a110
13b9757c60aa70
1452a035170a72
152671ced3e950
hex13213264eb1c

21033300323100 has 144 divisors (see below), whose sum is σ = 67308893670368. Its totient is φ = 5037497256960.

The previous prime is 21033300323083. The next prime is 21033300323129. The reversal of 21033300323100 is 132300333012.

It is a super-2 number, since 2×210333003231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72736159 + ... + 73024758.

Almost surely, 221033300323100 is an apocalyptic number.

21033300323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21033300323100 is an abundant number, since it is smaller than the sum of its proper divisors (46275593347268).

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

21033300323100 is a wasteful number, since it uses less digits than its factorization.

21033300323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145760984 (or 145760977 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 21033300323100 its reverse (132300333012), we get a palindrome (21165600656112).

The spelling of 21033300323100 in words is "twenty-one trillion, thirty-three billion, three hundred million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 145760917 291521834 437282751 583043668 728804585 874565502 1457609170 1749131004 1894891921 2186413755 2915218340 3644022925 3789783842 4372827510 5393153929 5684675763 7288045850 7579567684 8745655020 9474459605 10786307858 10932068775 11369351526 14576091700 16179461787 18948919210 21572615716 21864137550 22738703052 26965769645 28423378815 32358923574 37897838420 43728275100 47372298025 53931539290 56846757630 64717847148 70111001077 80897308935 94744596050 107863078580 113693515260 134828848225 140222002154 142116894075 161794617870 189489192100 210333003231 269657696450 280444004308 284233788150 323589235740 350555005385 404486544675 420666006462 539315392900 568467576300 701110010770 808973089350 841332012924 1051665016155 1402220021540 1617946178700 1752775026925 2103330032310 3505550053850 4206660064620 5258325080775 7011100107700 10516650161550 21033300323100