Search a number
-
+
20112200010100 = 225211231694346919
BaseRepresentation
bin1001001001010101111001…
…00010011000100101110100
32122012201002210120120112101
410210222330202120211310
510114004241200310400
6110435230033431444
74144026031252642
oct444527442304564
978181083516471
1020112200010100
116454599644310
122309a6710b584
13b2b759516a63
144d76156c2192
1524d27019d56a
hex124abc898974

20112200010100 has 144 divisors (see below), whose sum is σ = 49685099950080. Its totient is φ = 6994985852800.

The previous prime is 20112200010079. The next prime is 20112200010113. The reversal of 20112200010100 is 101000221102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428634441 + ... + 428681359.

It is an arithmetic number, because the mean of its divisors is an integer number (345035416320).

Almost surely, 220112200010100 is an apocalyptic number.

20112200010100 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 20112200010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842549975040).

20112200010100 is an abundant number, since it is smaller than the sum of its proper divisors (29572899939980).

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

20112200010100 is a wasteful number, since it uses less digits than its factorization.

20112200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63910 (or 63903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20112200010100 its reverse (101000221102), we get a palindrome (20213200231202).

The spelling of 20112200010100 in words is "twenty trillion, one hundred twelve billion, two hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 16943 25300 33886 46919 67772 84715 93838 169430 186373 187676 234595 338860 372746 389689 423575 469190 516109 745492 779378 847150 931865 938380 1032218 1079137 1172975 1558756 1694300 1863730 1948445 2064436 2158274 2345950 2580545 3727460 3896890 4286579 4316548 4659325 4691900 5161090 5395685 7793780 8573158 9318650 9742225 10322180 10791370 11870507 12902725 17146316 18637300 19484450 21432895 21582740 23741014 25805450 26978425 38968900 42865790 47482028 51610900 53956850 59352535 85731580 107164475 107913700 118705070 214328950 237410140 296762675 428657900 593525350 794948617 1187050700 1589897234 3179794468 3974743085 7949486170 8744434787 15898972340 17488869574 18283818191 19873715425 34977739148 36567636382 39747430850 43722173935 73135272764 79494861700 87444347870 91419090955 174888695740 182838181910 201122000101 218610869675 365676363820 402244000202 437221739350 457095454775 804488000404 874443478700 914190909550 1005610000505 1828381819100 2011220001010 4022440002020 5028050002525 10056100005050 20112200010100