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2422103344101 = 34729197747731
BaseRepresentation
bin100011001111110000100…
…111000000001111100101
322120112212112202102220000
4203033300213000033211
5304140431424002401
65052410544331513
7336663656505360
oct43176047001745
98515775672800
102422103344101
11854232214811
12331505613b99
1314753226933c
14853324150d7
154301011a186
hex233f09c03e5

2422103344101 has 80 divisors (see below), whose sum is σ = 4299399181440. Its totient is φ = 1329547685760.

The previous prime is 2422103344093. The next prime is 2422103344123. The reversal of 2422103344101 is 1014433012242.

2422103344101 is a `hidden beast` number, since 2 + 4 + 2 + 210 + 3 + 3 + 441 + 0 + 1 = 666.

It is not a de Polignac number, because 2422103344101 - 23 = 2422103344093 is a prime.

It is a super-2 number, since 2×24221033441012 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422103344601) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2865406 + ... + 3613136.

It is an arithmetic number, because the mean of its divisors is an integer number (53742489768).

Almost surely, 22422103344101 is an apocalyptic number.

2422103344101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2422103344101 is a deficient number, since it is larger than the sum of its proper divisors (1877295837339).

2422103344101 is a wasteful number, since it uses less digits than its factorization.

2422103344101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747976 (or 747967 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2422103344101 its reverse (1014433012242), we get a palindrome (3436536356343).

The spelling of 2422103344101 in words is "two trillion, four hundred twenty-two billion, one hundred three million, three hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 197 203 261 567 591 609 783 1379 1773 1827 2349 4137 5319 5481 5713 12411 15957 16443 17139 37233 39991 51417 111699 119973 154251 359919 462753 747731 1079757 2243193 3239271 5234117 6729579 15702351 20188737 21684199 47107053 60566211 65052597 141321159 147303007 151789393 195157791 423963477 441909021 455368179 585473373 1031121049 1325727063 1366104537 1756420119 3093363147 3977181189 4098313611 4271787203 9280089441 11931543567 12294940833 12815361609 27840268323 29902510421 38446084827 83520804969 89707531263 115338254481 269122593789 346014763443 807367781367 2422103344101