Search a number
-
+
22201121001000 = 2335326723276929
BaseRepresentation
bin1010000110001000110011…
…11011100100111000101000
32220121101222021221210101210
411003010121323210320220
510402220343434013000
6115115015412113120
74450656321565314
oct503043173447050
986541867853353
1022201121001000
11708a496028727
1225a68866057a0
13c5073118bb76
1456a77ba36b44
1528777e91b350
hex143119ee4e28

22201121001000 has 128 divisors (see below), whose sum is σ = 69270339715200. Its totient is φ = 5920056012800.

The previous prime is 22201121000923. The next prime is 22201121001001. The reversal of 22201121001000 is 10012110222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22201121001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80030536 + ... + 80307464.

It is an arithmetic number, because the mean of its divisors is an integer number (541174529025).

Almost surely, 222201121001000 is an apocalyptic number.

22201121001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201121001000 is an abundant number, since it is smaller than the sum of its proper divisors (47069218714200).

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

22201121001000 is a wasteful number, since it uses less digits than its factorization.

22201121001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303676 (or 303662 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22201121001000 its reverse (10012110222), we get a palindrome (22211133111222).

The spelling of 22201121001000 in words is "twenty-two trillion, two hundred one billion, one hundred twenty-one million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 26723 53446 80169 106892 133615 160338 213784 267230 276929 320676 400845 534460 553858 641352 668075 801690 830787 1068920 1107716 1336150 1384645 1603380 1661574 2004225 2215432 2672300 2769290 3206760 3323148 3340375 4008450 4153935 5344600 5538580 6646296 6680750 6923225 8016900 8307870 10021125 11077160 13361500 13846450 16033800 16615740 20042250 20769675 26723000 27692900 33231480 34616125 40084500 41539350 55385800 69232250 80169000 83078700 103848375 138464500 166157400 207696750 276929000 415393500 830787000 7400373667 14800747334 22201121001 29601494668 37001868335 44402242002 59202989336 74003736670 88804484004 111005605005 148007473340 177608968008 185009341675 222011210010 296014946680 370018683350 444022420020 555028025025 740037366700 888044840040 925046708375 1110056050050 1480074733400 1850093416750 2220112100100 2775140125125 3700186833500 4440224200200 5550280250250 7400373667000 11100560500500 22201121001000