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323121310020 = 223258053222913
BaseRepresentation
bin1001011001110111000…
…01111110100101000100
31010220000212202021101200
410230323201332211010
520243223023410040
6404235003022500
732226150550425
oct4547341764504
91126025667350
10323121310020
11115042612783
125275880aa30
1324616083042
14118d3bab64c
158612482630
hex4b3b87e944

323121310020 has 72 divisors (see below), whose sum is σ = 980260748376. Its totient is φ = 86154596352.

The previous prime is 323121309997. The next prime is 323121310027. The reversal of 323121310020 is 20013121323.

323121310020 is a `hidden beast` number, since 323 + 12 + 1 + 310 + 0 + 20 = 666.

323121310020 is digitally balanced in base 4, 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 4 ways, for example, as 83054628864 + 240066681156 = 288192^2 + 489966^2 .

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 = 323121309975 and 323121310002.

It is not an unprimeable number, because it can be changed into a prime (323121310027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338084 + ... + 1560996.

Almost surely, 2323121310020 is an apocalyptic number.

323121310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

323121310020 is an abundant number, since it is smaller than the sum of its proper divisors (657139438356).

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

323121310020 is a wasteful number, since it uses less digits than its factorization.

323121310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230981 (or 230976 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 323121310020 its reverse (20013121323), we get a palindrome (343134431343).

The spelling of 323121310020 in words is "three hundred twenty-three billion, one hundred twenty-one million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8053 16106 24159 32212 40265 48318 72477 80530 96636 120795 144954 161060 222913 241590 289908 362385 445826 483180 668739 724770 891652 1114565 1337478 1449540 2006217 2229130 2674956 3343695 4012434 4458260 6687390 8024868 10031085 13374780 20062170 40124340 1795118389 3590236778 5385355167 7180473556 8975591945 10770710334 16156065501 17951183890 21541420668 26926775835 32312131002 35902367780 53853551670 64624262004 80780327505 107707103340 161560655010 323121310020