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213252354410000 = 245421325235441
BaseRepresentation
bin110000011111001110101110…
…110101010000011000010000
31000222001201121020110212022112
4300133032232311100120100
5210422411310212110000
62033314440144524452
762626655066223113
oct6037165665203020
91028051536425275
10213252354410000
1161a488a7650384
121bb0189a020728
1391cb7c2a1ba99
143a9367d01057a
15199c2b30ad235
hexc1f3aed50610

213252354410000 has 50 divisors (see below), whose sum is σ = 516305275286262. Its totient is φ = 85300941760000.

The previous prime is 213252354409999. The next prime is 213252354410021. The reversal of 213252354410000 is 14453252312.

It can be written as a sum of positive squares in 5 ways, for example, as 25294944830464 + 187957409579536 = 5029408^2 + 13709756^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2132523544100002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10662607721 + ... + 10662627720.

Almost surely, 2213252354410000 is an apocalyptic number.

213252354410000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213252354410000 is an abundant number, since it is smaller than the sum of its proper divisors (303052920876262).

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

213252354410000 is an equidigital number, since it uses as much as digits as its factorization.

213252354410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21325235469 (or 21325235448 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 213252354410000 in words is "two hundred thirteen trillion, two hundred fifty-two billion, three hundred fifty-four million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21325235441 42650470882 85300941764 106626177205 170601883528 213252354410 341203767056 426504708820 533130886025 853009417640 1066261772050 1706018835280 2132523544100 2665654430125 4265047088200 5331308860250 8530094176400 10662617720500 13328272150625 21325235441000 26656544301250 42650470882000 53313088602500 106626177205000 213252354410000