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213302350054020 = 223523732117355073
BaseRepresentation
bin110000011111111101010010…
…110011100000001010000100
31000222020111122112002201122210
4300133331102303200022010
5210424221203103212040
62033353425153023420
762633405036204163
oct6037752263401204
91028214575081583
10213302350054020
1161a68022908747
121bb0b511554b70
13920342c8c4bb6
143a95c62d293da
15199d73c392480
hexc1ff52ce0284

213302350054020 has 96 divisors (see below), whose sum is σ = 631750998719232. Its totient is φ = 53662246944768.

The previous prime is 213302350054009. The next prime is 213302350054049. The reversal of 213302350054020 is 20450053203312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058576797 + ... + 1058778276.

It is an arithmetic number, because the mean of its divisors is an integer number (6580739569992).

Almost surely, 2213302350054020 is an apocalyptic number.

213302350054020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302350054020 is an abundant number, since it is smaller than the sum of its proper divisors (418448648665212).

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

213302350054020 is a wasteful number, since it uses less digits than its factorization.

213302350054020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117355181 (or 2117355179 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 213302350054020 in words is "two hundred thirteen trillion, three hundred two billion, three hundred fifty million, fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 73 92 115 138 146 219 230 276 292 345 365 438 460 690 730 876 1095 1380 1460 1679 2190 3358 4380 5037 6716 8395 10074 16790 20148 25185 33580 50370 100740 2117355073 4234710146 6352065219 8469420292 10586775365 12704130438 21173550730 25408260876 31760326095 42347101460 48699166679 63520652190 97398333358 127041304380 146097500037 154566920329 194796666716 243495833395 292195000074 309133840658 463700760987 486991666790 584390000148 618267681316 730487500185 772834601645 927401521974 973983333580 1460975000370 1545669203290 1854803043948 2318503804935 2921950000740 3091338406580 3555039167567 4637007609870 7110078335134 9274015219740 10665117502701 14220156670268 17775195837835 21330235005402 35550391675670 42660470010804 53325587513505 71100783351340 106651175027010 213302350054020