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212303524100 = 22523581592861
BaseRepresentation
bin1100010110111001000…
…1101011000100000100
3202021222210112110122012
43011232101223010010
511434244200232400
6241310401153352
721224036115443
oct3055621530404
9667883473565
10212303524100
1182045893a38
123519002b858
1317035316855
14a3c014cd5a
1557c869cd35
hex316e46b104

212303524100 has 36 divisors (see below), whose sum is σ = 460828075428. Its totient is φ = 84897552000.

The previous prime is 212303524093. The next prime is 212303524109. The reversal of 212303524100 is 1425303212.

It can be written as a sum of positive squares in 6 ways, for example, as 7509262336 + 204794261764 = 86656^2 + 452542^2 .

It is not an unprimeable number, because it can be changed into a prime (212303524109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61670 + ... + 654530.

It is an arithmetic number, because the mean of its divisors is an integer number (12800779873).

Almost surely, 2212303524100 is an apocalyptic number.

212303524100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212303524100 is an abundant number, since it is smaller than the sum of its proper divisors (248524551328).

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

212303524100 is a wasteful number, since it uses less digits than its factorization.

212303524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596456 (or 596449 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 212303524100 its reverse (1425303212), we get a palindrome (213728827312).

The spelling of 212303524100 in words is "two hundred twelve billion, three hundred three million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3581 7162 14324 17905 35810 71620 89525 179050 358100 592861 1185722 2371444 2964305 5928610 11857220 14821525 29643050 59286100 2123035241 4246070482 8492140964 10615176205 21230352410 42460704820 53075881025 106151762050 212303524100