Search a number
-
+
22201121102100 = 2235289831502663
BaseRepresentation
bin1010000110001000110011…
…11011111101100100010100
32220121101222022010221002020
411003010121323331210110
510402220344000231400
6115115015414213140
74450656322466133
oct503043173754424
986541868127066
1022201121102100
11708a496097686
1225a68866541b0
13c507311c5ba5
1456a77ba6191a
1528777e93b2a0
hex143119efd914

22201121102100 has 72 divisors (see below), whose sum is σ = 64956988111680. Its totient is φ = 5853778740480.

The previous prime is 22201121102093. The next prime is 22201121102101. The reversal of 22201121102100 is 120112110222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22201121102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201121102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415724632 + ... + 415778031.

It is an arithmetic number, because the mean of its divisors is an integer number (902180390440).

Almost surely, 222201121102100 is an apocalyptic number.

22201121102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201121102100 is an abundant number, since it is smaller than the sum of its proper divisors (42755867009580).

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

22201121102100 is a wasteful number, since it uses less digits than its factorization.

22201121102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831502769 (or 831502762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22201121102100 its reverse (120112110222), we get a palindrome (22321233212322).

The spelling of 22201121102100 in words is "twenty-two trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 150 178 267 300 356 445 534 890 1068 1335 1780 2225 2670 4450 5340 6675 8900 13350 26700 831502663 1663005326 2494507989 3326010652 4157513315 4989015978 8315026630 9978031956 12472539945 16630053260 20787566575 24945079890 41575133150 49890159780 62362699725 74003737007 83150266300 124725399450 148007474014 222011211021 249450798900 296014948028 370018685035 444022422042 740037370070 888044844084 1110056055105 1480074740140 1850093425175 2220112110210 3700186850350 4440224220420 5550280275525 7400373700700 11100560551050 22201121102100