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3232020221320 = 235112916172893
BaseRepresentation
bin101111000010000011011…
…010101100110110001000
3102102222102001020201222111
4233002003122230312020
5410423134134040240
610512434122032104
7452335321412032
oct57020332546610
912388361221874
103232020221320
11103676817a100
12442479048634
131a5a1691b5a7
14b2605862c52
1559113d4b1ea
hex2f0836acd88

3232020221320 has 96 divisors (see below), whose sum is σ = 7994222291160. Its totient is φ = 1175135667200.

The previous prime is 3232020221279. The next prime is 3232020221351. The reversal of 3232020221320 is 231220202323.

It can be written as a sum of positive squares in 4 ways, for example, as 1325450243524 + 1906569977796 = 1151282^2 + 1380786^2 .

It is a super-2 number, since 2×32320202213202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3232020221291 and 3232020221300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44302794 + ... + 44375686.

Almost surely, 23232020221320 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 3232020221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997111145580).

3232020221320 is an abundant number, since it is smaller than the sum of its proper divisors (4762202069840).

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

3232020221320 is a wasteful number, since it uses less digits than its factorization.

3232020221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82087 (or 82072 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 3232020221320 its reverse (231220202323), we get a palindrome (3463240423643).

The spelling of 3232020221320 in words is "three trillion, two hundred thirty-two billion, twenty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 9161 18322 36644 45805 72893 73288 91610 100771 145786 183220 201542 291572 364465 366440 403084 503855 583144 728930 801823 806168 1007710 1108481 1457860 1603646 2015420 2216962 2915720 3207292 4009115 4030840 4433924 5542405 6414584 8018230 8820053 8867848 11084810 16036460 17640106 22169620 32072920 35280212 44100265 44339240 70560424 88200530 176401060 352802120 667772773 1335545546 2671091092 3338863865 5342182184 6677727730 7345500503 13355455460 14691001006 26710910920 29382002012 36727502515 58764004024 73455005030 80800505533 146910010060 161601011066 293820020120 323202022132 404002527665 646404044264 808005055330 1616010110660 3232020221320