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100245050022 = 231310933433527
BaseRepresentation
bin101110101011100010…
…0100001001010100110
3100120202020202011200110
41131113010201022212
53120300213100042
6114015115153450
710146110603025
oct1352704411246
9316666664613
10100245050022
1139571798887
1217517a45886
1395b750b060
144bcd80c8bc
15291a9e209c
hex17571212a6

100245050022 has 64 divisors (see below), whose sum is σ = 218020239360. Its totient is φ = 30543848064.

The previous prime is 100245049973. The next prime is 100245050057. The reversal of 100245050022 is 220050542001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28420423 + ... + 28423949.

It is an arithmetic number, because the mean of its divisors is an integer number (3406566240).

Almost surely, 2100245050022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100245050022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109010119680).

100245050022 is an abundant number, since it is smaller than the sum of its proper divisors (117775189338).

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

100245050022 is a wasteful number, since it uses less digits than its factorization.

100245050022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997.

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 100245050022 its reverse (220050542001), we get a palindrome (320295592023).

The spelling of 100245050022 in words is "one hundred billion, two hundred forty-five million, fifty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 2834 3343 3527 4251 6686 7054 8502 10029 10581 20058 21162 43459 45851 86918 91702 130377 137553 260754 275106 364387 384443 728774 768886 1093161 1153329 2186322 2306658 4737031 4997759 9474062 9995518 11790761 14211093 14993277 23581522 28422186 29986554 35372283 70744566 153279893 306559786 459839679 919679358 1285192949 2570385898 3855578847 7711157694 16707508337 33415016674 50122525011 100245050022