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22131404300000 = 2555601368243
BaseRepresentation
bin1010000100000110111100…
…11111011101111011100000
32220100202000121200102200202
411002003132133131323200
510400100104000100000
6115023005441204332
74442640554446262
oct502033637357340
986322017612622
1022131404300000
11706296a843366
12259526a6306a8
13c46ca0645678
145672468c7b32
15285a4e11add5
hex1420de7ddee0

22131404300000 has 144 divisors (see below), whose sum is σ = 54551281713264. Its totient is φ = 8837808000000.

The previous prime is 22131404299999. The next prime is 22131404300009. The reversal of 22131404300000 is 340413122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131404300009) 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, 59915879 + ... + 60284121.

It is an arithmetic number, because the mean of its divisors is an integer number (378828345231).

Almost surely, 222131404300000 is an apocalyptic number.

22131404300000 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 22131404300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27275640856632).

22131404300000 is an abundant number, since it is smaller than the sum of its proper divisors (32419877413264).

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

22131404300000 is an frugal number, since it uses more digits than its factorization.

22131404300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368879 (or 368851 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22131404300000 its reverse (340413122), we get a palindrome (22131744713122).

The spelling of 22131404300000 in words is "twenty-two trillion, one hundred thirty-one billion, four hundred four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 601 625 800 1000 1202 1250 2000 2404 2500 3005 3125 4000 4808 5000 6010 6250 9616 10000 12020 12500 15025 19232 20000 24040 25000 30050 48080 50000 60100 75125 96160 100000 120200 150250 240400 300500 368243 375625 480800 601000 736486 751250 1202000 1472972 1502500 1841215 1878125 2404000 2945944 3005000 3682430 3756250 5891888 6010000 7364860 7512500 9206075 11783776 12020000 14729720 15025000 18412150 29459440 30050000 36824300 46030375 58918880 60100000 73648600 92060750 147297200 184121500 221314043 230151875 294594400 368243000 442628086 460303750 736486000 885256172 920607500 1106570215 1150759375 1472972000 1770512344 1841215000 2213140430 2301518750 3541024688 3682430000 4426280860 4603037500 5532851075 7082049376 7364860000 8852561720 9206075000 11065702150 17705123440 18412150000 22131404300 27664255375 35410246880 36824300000 44262808600 55328510750 88525617200 110657021500 138321276875 177051234400 221314043000 276642553750 442628086000 553285107500 691606384375 885256172000 1106570215000 1383212768750 2213140430000 2766425537500 4426280860000 5532851075000 11065702150000 22131404300000