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3302122010020 = 2254119739475179
BaseRepresentation
bin110000000011010101110…
…011110011010110100100
3102200200100120010120200221
4300003111303303112210
5413100221213310040
611004550210414124
7460366442653531
oct60032563632644
912620316116627
103302122010020
111063470874569
12453b81b91344
131ac509184932
14b5b75bb3d88
155ad6836674a
hex300d5cf35a4

3302122010020 has 96 divisors (see below), whose sum is σ = 7142835934080. Its totient is φ = 1281519375360.

The previous prime is 3302122009961. The next prime is 3302122010023. The reversal of 3302122010020 is 200102212033.

It is a junction number, because it is equal to n+sod(n) for n = 3302122009976 and 3302122010003.

It is not an unprimeable number, because it can be changed into a prime (3302122010023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637595791 + ... + 637600969.

It is an arithmetic number, because the mean of its divisors is an integer number (74404540980).

Almost surely, 23302122010020 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 3302122010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571417967040).

3302122010020 is an abundant number, since it is smaller than the sum of its proper divisors (3840713924060).

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

3302122010020 is a wasteful number, since it uses less digits than its factorization.

3302122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9371 counting only the distinct ones).

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

Adding to 3302122010020 its reverse (200102212033), we get a palindrome (3502224222053).

The spelling of 3302122010020 in words is "three trillion, three hundred two billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 197 205 394 410 788 820 985 1970 3940 3947 5179 7894 8077 10358 15788 16154 19735 20716 25895 32308 39470 40385 51790 78940 80770 103580 161540 161827 212339 323654 424678 647308 777559 809135 849356 1020263 1061695 1555118 1618270 2040526 2123390 3110236 3236540 3887795 4081052 4246780 5101315 7775590 10202630 15551180 20405260 20441513 31879919 40883026 41830783 63759838 81766052 83661566 102207565 127519676 159399595 167323132 204415130 209153915 318799190 408830260 418307830 637598380 836615660 838102033 1676204066 3352408132 4026978061 4190510165 8053956122 8381020330 16107912244 16762040660 20134890305 40269780610 80539561220 165106100501 330212201002 660424402004 825530502505 1651061005010 3302122010020