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99900901000 = 2353349286249
BaseRepresentation
bin101110100001010001…
…1101100011010001000
3100112212021011120222101
41131002203230122020
53114044112313000
6113521023003144
710134431435065
oct1350243543210
9315767146871
1099900901000
11394054aa5aa
12174407394b4
139561123094
144b99c25c6c
1528ea6b1e6a
hex17428ec688

99900901000 has 64 divisors (see below), whose sum is σ = 234438750000. Its totient is φ = 39845721600.

The previous prime is 99900900997. The next prime is 99900901003. The reversal of 99900901000 is 10900999.

It is an interprime number because it is at equal distance from previous prime (99900900997) and next prime (99900901003).

It can be written as a sum of positive squares in 8 ways, for example, as 976812516 + 98924088484 = 31254^2 + 314522^2 .

It is a super-2 number, since 2×999009010002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99900901003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205876 + ... + 492124.

Almost surely, 299900901000 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 99900901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117219375000).

99900901000 is an abundant number, since it is smaller than the sum of its proper divisors (134537849000).

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

99900901000 is a wasteful number, since it uses less digits than its factorization.

99900901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286619 (or 286605 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

The spelling of 99900901000 in words is "ninety-nine billion, nine hundred million, nine hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 1000 1396 1745 2792 3490 6980 8725 13960 17450 34900 43625 69800 87250 174500 286249 349000 572498 1144996 1431245 2289992 2862490 5724980 7156225 11449960 14312450 28624900 35781125 57249800 71562250 99900901 143124500 199801802 286249000 399603604 499504505 799207208 999009010 1998018020 2497522525 3996036040 4995045050 9990090100 12487612625 19980180200 24975225250 49950450500 99900901000