Search a number
-
+
9999900100000 = 2555607164743
BaseRepresentation
bin1001000110000100100001…
…1111100100010110100000
31022101222111020020210210101
42101201020133210112200
52302314243411200000
633133520215512144
72051316563246536
oct221411037442640
938358436223711
109999900100000
113205a2aa00738
12115606a388654
13576ca954b3b5
14267dd7b66156
151251c12ace6a
hex918487e45a0

9999900100000 has 144 divisors (see below), whose sum is σ = 24648243411456. Its totient is φ = 3993346080000.

The previous prime is 9999900099971. The next prime is 9999900100007. The reversal of 9999900100000 is 10099999.

It is not an unprimeable number, because it can be changed into a prime (9999900100007) by changing a digit.

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, 60617629 + ... + 60782371.

It is an arithmetic number, because the mean of its divisors is an integer number (171168357024).

Almost surely, 29999900100000 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 9999900100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324121705728).

9999900100000 is an abundant number, since it is smaller than the sum of its proper divisors (14648343311456).

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

9999900100000 is an equidigital number, since it uses as much as digits as its factorization.

9999900100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165385 (or 165357 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 46.

Adding to 9999900100000 its reverse (10099999), we get a palindrome (9999910199999).

The spelling of 9999900100000 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 607 625 800 1000 1214 1250 2000 2428 2500 3035 3125 4000 4856 5000 6070 6250 9712 10000 12140 12500 15175 19424 20000 24280 25000 30350 48560 50000 60700 75875 97120 100000 121400 151750 164743 242800 303500 329486 379375 485600 607000 658972 758750 823715 1214000 1317944 1517500 1647430 1896875 2428000 2635888 3035000 3294860 3793750 4118575 5271776 6070000 6589720 7587500 8237150 12140000 13179440 15175000 16474300 20592875 26358880 30350000 32948600 41185750 60700000 65897200 82371500 99999001 102964375 131794400 164743000 199998002 205928750 329486000 399996004 411857500 499995005 514821875 658972000 799992008 823715000 999990010 1029643750 1599984016 1647430000 1999980020 2059287500 2499975025 3199968032 3294860000 3999960040 4118575000 4999950050 7999920080 8237150000 9999900100 12499875125 15999840160 16474300000 19999800200 24999750250 39999600400 49999500500 62499375625 79999200800 99999001000 124998751250 199998002000 249997502500 312496878125 399996004000 499995005000 624993756250 999990010000 1249987512500 1999980020000 2499975025000 4999950050000 9999900100000