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99010000000 = 27579901
BaseRepresentation
bin101110000110101110…
…1001011010010000000
3100110120011210010120001
41130031131023102000
53110233030000000
6113252355525344
710103363054062
oct1341535132200
9313504703501
1099010000000
1138a9862248a
12172322b9854
13944b694122
144b13797732
15289738146a
hex170d74b480

99010000000 has 128 divisors (see below), whose sum is σ = 246582376560. Its totient is φ = 39600000000.

The previous prime is 99009999983. The next prime is 99010000013. The reversal of 99010000000 is 1099.

It can be written as a sum of positive squares in 8 ways, for example, as 69202668096 + 29807331904 = 263064^2 + 172648^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9995050 + ... + 10004950.

Almost surely, 299010000000 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 99010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123291188280).

99010000000 is an abundant number, since it is smaller than the sum of its proper divisors (147572376560).

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

99010000000 is an frugal number, since it uses more digits than its factorization.

99010000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 99010000000 its reverse (1099), we get a palindrome (99010001099).

The spelling of 99010000000 in words is "ninety-nine billion, ten million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 9901 10000 12500 15625 16000 19802 20000 25000 31250 39604 40000 49505 50000 62500 78125 79208 80000 99010 100000 125000 156250 158416 198020 200000 247525 250000 312500 316832 396040 400000 495050 500000 625000 633664 792080 990100 1000000 1237625 1250000 1267328 1584160 1980200 2000000 2475250 2500000 3168320 3960400 4950500 5000000 6188125 6336640 7920800 9901000 10000000 12376250 15841600 19802000 24752500 30940625 31683200 39604000 49505000 61881250 79208000 99010000 123762500 154703125 158416000 198020000 247525000 309406250 396040000 495050000 618812500 773515625 792080000 990100000 1237625000 1547031250 1980200000 2475250000 3094062500 3960400000 4950500000 6188125000 9901000000 12376250000 19802000000 24752500000 49505000000 99010000000