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33120120220 = 22511379491809
BaseRepresentation
bin11110110110000111…
…001110110110011100
310011111012100102200021
4132312013032312130
51020312222321340
623114251041524
72251514243155
oct366607166634
9104435312607
1033120120220
1113056498590
126503a402a4
13317a916195
14186299c92c
15cdc9e8e4a
hex7b61ced9c

33120120220 has 96 divisors (see below), whose sum is σ = 76324550400. Its totient is φ = 11972620800.

The previous prime is 33120120211. The next prime is 33120120233. The reversal of 33120120220 is 2202102133.

It is a junction number, because it is equal to n+sod(n) for n = 33120120194 and 33120120203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40939176 + ... + 40939984.

It is an arithmetic number, because the mean of its divisors is an integer number (795047400).

Almost surely, 233120120220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33120120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38162275200).

33120120220 is an abundant number, since it is smaller than the sum of its proper divisors (43204430180).

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

33120120220 is a wasteful number, since it uses less digits than its factorization.

33120120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33120120220 its reverse (2202102133), we get a palindrome (35322222353).

The spelling of 33120120220 in words is "thirty-three billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 491 758 809 982 1516 1618 1895 1964 2455 3236 3790 4045 4169 4910 5401 7580 8090 8338 8899 9820 10802 16180 16676 17798 20845 21604 27005 35596 41690 44495 54010 83380 88990 108020 177980 186089 306611 372178 397219 613222 744356 794438 930445 1226444 1533055 1588876 1860890 1986095 2046979 3066110 3372721 3721780 3972190 4093958 4369409 6132220 6745442 7944380 8187916 8738818 10234895 13490884 16863605 17477636 20469790 21847045 33727210 40939580 43694090 67454420 87388180 150546001 301092002 602184004 752730005 1505460010 1656006011 3010920020 3312012022 6624024044 8280030055 16560060110 33120120220