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22324130412129 = 3271359461996449
BaseRepresentation
bin1010001001101101111011…
…10111001111011001100001
32221001011111000212022212200
411010312331313033121201
510411224304341142004
6115251321450443413
74462602522411150
oct504667567173141
987034430768780
1022324130412129
1171276796a0987
122606696133569
13c5c2059a4280
145726ca915597
1528aa7dbc4239
hex144dbddcf661

22324130412129 has 48 divisors (see below), whose sum is σ = 40360009872000. Its totient is φ = 11575783001088.

The previous prime is 22324130412127. The next prime is 22324130412217. The reversal of 22324130412129 is 92121403142322.

22324130412129 is a `hidden beast` number, since 2 + 2 + 324 + 1 + 304 + 1 + 2 + 1 + 29 = 666.

It is not a de Polignac number, because 22324130412129 - 21 = 22324130412127 is a prime.

It is a super-3 number, since 3×223241304121293 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22324130412093 and 22324130412102.

It is not an unprimeable number, because it can be changed into a prime (22324130412127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230949904 + ... + 231046545.

It is an arithmetic number, because the mean of its divisors is an integer number (840833539000).

Almost surely, 222324130412129 is an apocalyptic number.

It is an amenable number.

22324130412129 is a deficient number, since it is larger than the sum of its proper divisors (18035879459871).

22324130412129 is a wasteful number, since it uses less digits than its factorization.

22324130412129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461996534 (or 461996531 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22324130412129 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred thirty million, four hundred twelve thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 13 21 39 59 63 91 117 177 273 413 531 767 819 1239 2301 3717 5369 6903 16107 48321 461996449 1385989347 3233975143 4157968041 6005953837 9701925429 18017861511 27257790491 29105776287 42041676859 54053584533 81773371473 126125030577 190804533437 245320114419 354351276383 378375091731 572413600311 1063053829149 1717240800933 2480458934681 3189161487447 7441376804043 22324130412129