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213453030400 = 210528338009
BaseRepresentation
bin1100011011001011001…
…0101100010000000000
3202101221220112102211121
43012302302230100000
511444122433433100
6242020423122024
721264364551661
oct3066262542000
9671856472747
10213453030400
1182585742045
1235450ba3314
131718950bcac
14a48ca97368
15584456251a
hex31b2cac400

213453030400 has 66 divisors (see below), whose sum is σ = 529105100570. Its totient is φ = 85381201920.

The previous prime is 213453030391. The next prime is 213453030419. The reversal of 213453030400 is 4030354312.

It can be written as a sum of positive squares in 3 ways, for example, as 11830477824 + 201622552576 = 108768^2 + 449024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4143405 + ... + 4194604.

Almost surely, 2213453030400 is an apocalyptic number.

213453030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213453030400 is an abundant number, since it is smaller than the sum of its proper divisors (315652070170).

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

213453030400 is an equidigital number, since it uses as much as digits as its factorization.

213453030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338039 (or 8338016 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 213453030400 its reverse (4030354312), we get a palindrome (217483384712).

The spelling of 213453030400 in words is "two hundred thirteen billion, four hundred fifty-three million, thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2560 3200 5120 6400 12800 25600 8338009 16676018 33352036 41690045 66704072 83380090 133408144 166760180 208450225 266816288 333520360 416900450 533632576 667040720 833800900 1067265152 1334081440 1667601800 2134530304 2668162880 3335203600 4269060608 5336325760 6670407200 8538121216 10672651520 13340814400 21345303040 26681628800 42690606080 53363257600 106726515200 213453030400