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105023542444212 = 22375413612309513
BaseRepresentation
bin10111111000010010110010…
…111100001100000010110100
3111202212011010020200201212010
4113320102302330030002310
5102231201203331203322
61011211052131324220
731056462200316120
oct2770226274140264
9452764106621763
10105023542444212
113051126382a4a7
12b942323a50670
13467a8a6792672
141bd124912a580
15c21d83c5020c
hex5f84b2f0c0b4

105023542444212 has 48 divisors (see below), whose sum is σ = 280063418447232. Its totient is φ = 30006657991680.

The previous prime is 105023542444211. The next prime is 105023542444213. The reversal of 105023542444212 is 212444245320501.

It is an interprime number because it is at equal distance from previous prime (105023542444211) and next prime (105023542444213).

It is a super-2 number, since 2×1050235424442122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105023542444211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44319568 + ... + 46629080.

It is an arithmetic number, because the mean of its divisors is an integer number (5834654550984).

Almost surely, 2105023542444212 is an apocalyptic number.

105023542444212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105023542444212 is an abundant number, since it is smaller than the sum of its proper divisors (175039876003020).

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

105023542444212 is a wasteful number, since it uses less digits than its factorization.

105023542444212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850888 (or 2850886 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 105023542444212 its reverse (212444245320501), we get a palindrome (317467787764713).

The spelling of 105023542444212 in words is "one hundred five trillion, twenty-three billion, five hundred forty-two million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 541361 1082722 1624083 2165444 2309513 3248166 3789527 4619026 6496332 6928539 7579054 9238052 11368581 13857078 15158108 16166591 22737162 27714156 32333182 45474324 48499773 64666364 96999546 193999092 1250280267193 2500560534386 3750840801579 5001121068772 7501681603158 8751961870351 15003363206316 17503923740702 26255885611053 35007847481404 52511771222106 105023542444212