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33221120020 = 22511417434957
BaseRepresentation
bin11110111100001000…
…100001000000010100
310011202020101202100121
4132330020201000110
51021014101320040
623132255521324
72254151601214
oct367410410024
9104666352317
1033221120020
11130a85021a0
126531829244
133195819a8a
141872170244
15ce67e9c4a
hex7bc221014

33221120020 has 96 divisors (see below), whose sum is σ = 78083502336. Its totient is φ = 11767526400.

The previous prime is 33221120003. The next prime is 33221120059. The reversal of 33221120020 is 2002112233.

It is a super-3 number, since 3×332211200203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33221119976 and 33221120003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6699382 + ... + 6704338.

It is an arithmetic number, because the mean of its divisors is an integer number (813369816).

Almost surely, 233221120020 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 33221120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39041751168).

33221120020 is an abundant number, since it is smaller than the sum of its proper divisors (44862382316).

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

33221120020 is a wasteful number, since it uses less digits than its factorization.

33221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5759 counting only the distinct ones).

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

Adding to 33221120020 its reverse (2002112233), we get a palindrome (35223232253).

The spelling of 33221120020 in words is "thirty-three billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 743 820 902 1486 1804 2255 2972 3715 4510 4957 7430 8173 9020 9914 14860 16346 19828 24785 30463 32692 40865 49570 54527 60926 81730 99140 109054 121852 152315 163460 203237 218108 272635 304630 335093 406474 545270 609260 670186 812948 1016185 1090540 1340372 1675465 2032370 2235607 3350930 3683051 4064740 4471214 6701860 7366102 8942428 11178035 14732204 18415255 22356070 36830510 40513561 44712140 73661020 81027122 151005091 162054244 202567805 302010182 405135610 604020364 755025455 810271220 1510050910 1661056001 3020101820 3322112002 6644224004 8305280005 16610560010 33221120020