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213382870020 = 22345131717821
BaseRepresentation
bin1100011010111010011…
…1000011010000000100
3202101210000111220220000
43012232213003100010
511444002003320040
6242005435241300
721262553316525
oct3065647032004
9671700456800
10213382870020
118254a081561
12354315a9230
1317177b15488
14a48363284c
15583d304130
hex31ae9c3404

213382870020 has 60 divisors (see below), whose sum is σ = 669389971404. Its totient is φ = 56902098240.

The previous prime is 213382870009. The next prime is 213382870123. The reversal of 213382870020 is 20078283312.

It is a happy number.

213382870020 is a `hidden beast` number, since 21 + 338 + 287 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82861076736 + 130521793284 = 287856^2 + 361278^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65857291 + ... + 65860530.

Almost surely, 2213382870020 is an apocalyptic number.

213382870020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213382870020 is an abundant number, since it is smaller than the sum of its proper divisors (456007101384).

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

213382870020 is a wasteful number, since it uses less digits than its factorization.

213382870020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131717842 (or 131717831 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 213382870020 in words is "two hundred thirteen billion, three hundred eighty-two million, eight hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 131717821 263435642 395153463 526871284 658589105 790306926 1185460389 1317178210 1580613852 1975767315 2370920778 2634356420 3556381167 3951534630 4741841556 5927301945 7112762334 7903069260 10669143501 11854603890 14225524668 17781905835 21338287002 23709207780 35563811670 42676574004 53345717505 71127623340 106691435010 213382870020