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32213420121330 = 2325727304630413
BaseRepresentation
bin1110101001100010001010…
…11101101001110011110010
311020001120110122011002112100
413110301011131221303302
513210241041022340310
6152302350234041230
76533225403113400
oct724610535516362
9136046418132470
1032213420121330
11a29a6a89468a8
123743215279216
1314c893542c486
147d51d03a8470
153ace294b7ec0
hex1d4c45769cf2

32213420121330 has 72 divisors (see below), whose sum is σ = 97429160461932. Its totient is φ = 7363067455296.

The previous prime is 32213420121313. The next prime is 32213420121409. The reversal of 32213420121330 is 3312102431223.

32213420121330 is a `hidden beast` number, since 3 + 2 + 21 + 3 + 420 + 1 + 213 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31176890475129 + 1036529646201 = 5583627^2 + 1018101^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32213420121294 and 32213420121303.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3652310797 + ... + 3652319616.

Almost surely, 232213420121330 is an apocalyptic number.

32213420121330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

32213420121330 is an abundant number, since it is smaller than the sum of its proper divisors (65215740340602).

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

32213420121330 is a wasteful number, since it uses less digits than its factorization.

32213420121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304630440 (or 7304630430 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 32213420121330 its reverse (3312102431223), we get a palindrome (35525522552553).

The spelling of 32213420121330 in words is "thirty-two trillion, two hundred thirteen billion, four hundred twenty million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 7304630413 14609260826 21913891239 36523152065 43827782478 51132412891 65741673717 73046304130 102264825782 109569456195 131483347434 153397238673 219138912390 255662064455 306794477346 328708368585 357926890237 460191716019 511324128910 657416737170 715853780474 766986193365 920383432038 1073780670711 1533972386730 1789634451185 2147561341422 2300958580095 3221342012133 3579268902370 4601917160190 5368903353555 6442684024266 10737806707110 16106710060665 32213420121330