Search a number
-
+
10221113141400 = 2335272433598367
BaseRepresentation
bin1001010010111100100111…
…0100010110100010011000
31100012010110221121122111210
42110233021310112202120
52314430314431011100
633423303051023120
72103310466133360
oct224571164264230
940163427548453
1010221113141400
1132908279a4907
121190b0613aaa0
13591b01654675
142749c12959a0
1512ad1bc12c50
hex94bc9d16898

10221113141400 has 96 divisors (see below), whose sum is σ = 36211943715840. Its totient is φ = 2336254431360.

The previous prime is 10221113141387. The next prime is 10221113141467. The reversal of 10221113141400 is 414131112201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216794984 + ... + 1216803383.

It is an arithmetic number, because the mean of its divisors is an integer number (377207747040).

Almost surely, 210221113141400 is an apocalyptic number.

10221113141400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221113141400 is an abundant number, since it is smaller than the sum of its proper divisors (25990830574440).

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

10221113141400 is a wasteful number, since it uses less digits than its factorization.

10221113141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433598393 (or 2433598384 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10221113141400 its reverse (414131112201), we get a palindrome (10635244253601).

The spelling of 10221113141400 in words is "ten trillion, two hundred twenty-one billion, one hundred thirteen million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 2433598367 4867196734 7300795101 9734393468 12167991835 14601590202 17035188569 19468786936 24335983670 29203180404 34070377138 36503975505 48671967340 51105565707 58406360808 60839959175 68140754276 73007951010 85175942845 97343934680 102211131414 121679918350 136281508552 146015902020 170351885690 182519877525 204422262828 243359836700 255527828535 292031804040 340703771380 365039755050 408844525656 425879714225 486719673400 511055657070 681407542760 730079510100 851759428450 1022111314140 1277639142675 1460159020200 1703518856900 2044222628280 2555278285350 3407037713800 5110556570700 10221113141400