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99000900100 = 225241151159911
BaseRepresentation
bin101110000110011101…
…0011101101000000100
3100110112112122210211201
41130030322131220010
53110223212300400
6113251432512244
710103222523544
oct1341472355004
9313475583751
1099000900100
1138a93477603
121722b24b684
13944982917b
144b124a9324
15289668506a
hex170ce9da04

99000900100 has 72 divisors (see below), whose sum is σ = 221530571136. Its totient is φ = 38378400000.

The previous prime is 99000900073. The next prime is 99000900121. The reversal of 99000900100 is 100900099.

It is a super-2 number, since 2×990009001002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539145 + ... + 699055.

It is an arithmetic number, because the mean of its divisors is an integer number (3076813488).

Almost surely, 299000900100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99000900100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110765285568).

99000900100 is an abundant number, since it is smaller than the sum of its proper divisors (122529671036).

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

99000900100 is a wasteful number, since it uses less digits than its factorization.

99000900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160117 (or 160110 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 99000900100 in words is "ninety-nine billion, nine hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 151 164 205 302 410 604 755 820 1025 1510 2050 3020 3775 4100 6191 7550 12382 15100 24764 30955 61910 123820 154775 159911 309550 319822 619100 639644 799555 1599110 3198220 3997775 6556351 7995550 13112702 15991100 24146561 26225404 32781755 48293122 65563510 96586244 120732805 131127020 163908775 241465610 327817550 482931220 603664025 655635100 990009001 1207328050 1980018002 2414656100 3960036004 4950045005 9900090010 19800180020 24750225025 49500450050 99000900100