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11300300221000 = 235377841205883
BaseRepresentation
bin1010010001110000111001…
…1000010110101001001000
31111000022001100111111211211
42210130032120112221020
52440121003324033000
640011141455302504
72244263655015610
oct244341630265110
944008040444754
1011300300221000
11366748097073a
1213260a781aa34
1363c7c94ca20b
142b0d1a507a40
15148e303bc7ba
hexa470e616a48

11300300221000 has 128 divisors (see below), whose sum is σ = 30224232380160. Its totient is φ = 3873875712000.

The previous prime is 11300300220991. The next prime is 11300300221033. The reversal of 11300300221000 is 12200300311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54784059 + ... + 54989941.

It is an arithmetic number, because the mean of its divisors is an integer number (236126815470).

Almost surely, 211300300221000 is an apocalyptic number.

11300300221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300300221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112116190080).

11300300221000 is an abundant number, since it is smaller than the sum of its proper divisors (18923932159160).

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

11300300221000 is a wasteful number, since it uses less digits than its factorization.

11300300221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213752 (or 213738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11300300221000 its reverse (12200300311), we get a palindrome (11312500521311).

The spelling of 11300300221000 in words is "eleven trillion, three hundred billion, three hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 7841 15682 31364 39205 54887 62728 78410 109774 156820 196025 205883 219548 274435 313640 392050 411766 439096 548870 784100 823532 980125 1029415 1097740 1372175 1441181 1568200 1647064 1960250 2058830 2195480 2744350 2882362 3920500 4117660 5147075 5488700 5764724 6860875 7205905 7841000 8235320 10294150 10977400 11529448 13721750 14411810 20588300 25735375 27443500 28823620 36029525 41176600 51470750 54887000 57647240 72059050 102941500 144118100 180147625 205883000 288236200 360295250 720590500 1441181000 1614328603 3228657206 6457314412 8071643015 11300300221 12914628824 16143286030 22600600442 32286572060 40358215075 45201200884 56501501105 64573144120 80716430150 90402401768 113003002210 161432860300 201791075375 226006004420 282507505525 322865720600 403582150750 452012008840 565015011050 807164301500 1130030022100 1412537527625 1614328603000 2260060044200 2825075055250 5650150110500 11300300221000