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99521320900 = 2252315472
BaseRepresentation
bin101110010101111101…
…1101101011111000100
3100111212210220220222011
41130223323231133010
53112304424232100
6113415223144004
710122142161421
oct1345373553704
9314783826864
1099521320900
1139230211441
12173555a5004
1395005b1081
144b61658d48
1528c71d3bba
hex172beed7c4

99521320900 has 27 divisors (see below), whose sum is σ = 215968112269. Its totient is φ = 39807266480.

The previous prime is 99521320879. The next prime is 99521320901. The reversal of 99521320900 is 902312599.

The square root of 99521320900 is 315470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35827675524 + 63693645376 = 189282^2 + 252376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99521320901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3138927 + ... + 3170473.

Almost surely, 299521320900 is an apocalyptic number.

99521320900 is the 315470-th square number.

It is an amenable number.

99521320900 is an abundant number, since it is smaller than the sum of its proper divisors (116446791369).

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

99521320900 is an frugal number, since it uses more digits than its factorization.

99521320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63108 (or 31554 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The spelling of 99521320900 in words is "ninety-nine billion, five hundred twenty-one million, three hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 31547 63094 126188 157735 315470 630940 788675 1577350 3154700 995213209 1990426418 3980852836 4976066045 9952132090 19904264180 24880330225 49760660450 99521320900