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33232102020 = 223251383916927
BaseRepresentation
bin11110111100110010…
…011010001010000100
310011210000001200211100
4132330302122022010
51021024404231040
623133331140100
72254344130545
oct367462321204
9104700050740
1033232102020
1113103723127
126535444630
133197b935c0
1418737cc4cc
15ce7768b30
hex7bcc9a284

33232102020 has 144 divisors (see below), whose sum is σ = 108694010880. Its totient is φ = 8169977088.

The previous prime is 33232101989. The next prime is 33232102039. The reversal of 33232102020 is 2020123233.

It is a happy number.

It is a super-2 number, since 2×332321020202 (a number of 22 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 = 33232101984 and 33232102002.

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, 1954797 + ... + 1971723.

It is an arithmetic number, because the mean of its divisors is an integer number (754819520).

Almost surely, 233232102020 is an apocalyptic number.

33232102020 is a gapful number since it is divisible by the number (30) 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 33232102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54347005440).

33232102020 is an abundant number, since it is smaller than the sum of its proper divisors (75461908860).

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

33232102020 is a wasteful number, since it uses less digits than its factorization.

33232102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794 (or 17789 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33232102020 its reverse (2020123233), we get a palindrome (35252225253).

The spelling of 33232102020 in words is "thirty-three billion, two hundred thirty-two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 839 1170 1678 2340 2517 3356 4195 5034 7551 8390 10068 10907 12585 15102 16780 16927 21814 25170 30204 32721 33854 37755 43628 50340 50781 54535 65442 67708 75510 84635 98163 101562 109070 130884 151020 152343 163605 169270 196326 203124 218140 220051 253905 304686 327210 338540 392652 440102 490815 507810 609372 654420 660153 761715 880204 981630 1015620 1100255 1320306 1523430 1963260 1980459 2200510 2640612 3046860 3300765 3960918 4401020 6601530 7921836 9902295 13203060 14201753 19804590 28403506 39609180 42605259 56807012 71008765 85210518 127815777 142017530 170421036 184622789 213026295 255631554 284035060 369245578 426052590 511263108 553868367 639078885 738491156 852105180 923113945 1107736734 1278157770 1661605101 1846227890 2215473468 2556315540 2769341835 3323210202 3692455780 5538683670 6646420404 8308025505 11077367340 16616051010 33232102020