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2201022331300 = 22521323611206767
BaseRepresentation
bin100000000001110111001…
…001110111100110100100
321210102020000211100100201
4200001313021313212210
5242030143204100200
64403045151120244
7315006246061552
oct40016711674644
97712200740321
102201022331300
117794a27a8691
122b66a5b13084
1312c72b60bcc0
147875c652bd2
153c3c1094c6a
hex200772779a4

2201022331300 has 144 divisors (see below), whose sum is σ = 5455247841792. Its totient is φ = 764606937600.

The previous prime is 2201022331289. The next prime is 2201022331363. The reversal of 2201022331300 is 31332201022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1220517 + ... + 2427283.

It is an arithmetic number, because the mean of its divisors is an integer number (37883665568).

Almost surely, 22201022331300 is an apocalyptic number.

2201022331300 is a gapful number since it is divisible by the number (20) 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 2201022331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727623920896).

2201022331300 is an abundant number, since it is smaller than the sum of its proper divisors (3254225510492).

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

2201022331300 is a wasteful number, since it uses less digits than its factorization.

2201022331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206878 (or 1206871 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2201022331300 its reverse (31332201022), we get a palindrome (2232354532322).

The spelling of 2201022331300 in words is "two trillion, two hundred one billion, twenty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 61 65 92 100 115 122 130 230 244 260 299 305 325 460 575 598 610 650 793 1150 1196 1220 1300 1403 1495 1525 1586 2300 2806 2990 3050 3172 3965 5612 5980 6100 7015 7475 7930 14030 14950 15860 18239 19825 28060 29900 35075 36478 39650 70150 72956 79300 91195 140300 182390 364780 455975 911950 1206767 1823900 2413534 4827068 6033835 12067670 15687971 24135340 27755641 30169175 31375942 55511282 60338350 62751884 73612787 78439855 111022564 120676700 138778205 147225574 156879710 277556410 294451148 313759420 360823333 368063935 392199275 555112820 693891025 721646666 736127870 784398550 956966231 1387782050 1443293332 1472255740 1568797100 1693094101 1804116665 1840319675 1913932462 2775564100 3386188202 3608233330 3680639350 3827864924 4784831155 6772376404 7216466660 7361278700 8465470505 9020583325 9569662310 16930941010 18041166650 19139324620 22010223313 23924155775 33861882020 36082333300 42327352525 44020446626 47848311550 84654705050 88040893252 95696623100 110051116565 169309410100 220102233130 440204466260 550255582825 1100511165650 2201022331300