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123321220020 = 22325685117889
BaseRepresentation
bin111001011011010000…
…1000111101110110100
3102210022110122001212100
41302312201013232310
54010030213020040
6132353013422100
711624005034415
oct1626641075664
9383273561770
10123321220020
1148333682959
121ba9803a930
13b8242b920b
145d7c48780c
15331b84ab30
hex1cb6847bb4

123321220020 has 36 divisors (see below), whose sum is σ = 374074367940. Its totient is φ = 32885658624.

The previous prime is 123321219997. The next prime is 123321220031. The reversal of 123321220020 is 20022123321.

123321220020 is a `hidden beast` number, since 1 + 233 + 212 + 200 + 20 = 666.

123321220020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 67430586276 + 55890633744 = 259674^2 + 236412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 123321219975 and 123321220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342558765 + ... + 342559124.

It is an arithmetic number, because the mean of its divisors is an integer number (10390954665).

Almost surely, 2123321220020 is an apocalyptic number.

123321220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123321220020 is an abundant number, since it is smaller than the sum of its proper divisors (250753147920).

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

123321220020 is a wasteful number, since it uses less digits than its factorization.

123321220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685117904 (or 685117899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123321220020 its reverse (20022123321), we get a palindrome (143343343341).

The spelling of 123321220020 in words is "one hundred twenty-three billion, three hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 685117889 1370235778 2055353667 2740471556 3425589445 4110707334 6166061001 6851178890 8221414668 10276768335 12332122002 13702357780 20553536670 24664244004 30830305005 41107073340 61660610010 123321220020