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2124305014041 = 337172343668513
BaseRepresentation
bin11110111010011010011…
…100100001110100011001
321112002012110122211112000
4132322122130201310121
5234301034040422131
64303520420511213
7306322154455560
oct36723234416431
97462173584460
102124305014041
11749a04888751
122a385554b509
13125423605212
1474b61866bd7
153a3d0da7ce6
hex1ee9a721d19

2124305014041 has 128 divisors (see below), whose sum is σ = 4066276515840. Its totient is φ = 1067394392064.

The previous prime is 2124305014037. The next prime is 2124305014057. The reversal of 2124305014041 is 1404105034212.

2124305014041 is a `hidden beast` number, since 2 + 1 + 2 + 430 + 50 + 140 + 41 = 666.

It is not a de Polignac number, because 2124305014041 - 22 = 2124305014037 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2124305013996 and 2124305014014.

It is not an unprimeable number, because it can be changed into a prime (2124305014001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2843401 + ... + 3511913.

It is an arithmetic number, because the mean of its divisors is an integer number (31767785280).

Almost surely, 22124305014041 is an apocalyptic number.

2124305014041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2124305014041 is a deficient number, since it is larger than the sum of its proper divisors (1941971501799).

2124305014041 is a wasteful number, since it uses less digits than its factorization.

2124305014041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668612 (or 668606 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 2124305014041 in words is "two trillion, one hundred twenty-four billion, three hundred five million, fourteen thousand, forty-one".

Divisors: 1 3 7 9 17 21 23 27 43 51 63 69 119 129 153 161 189 207 301 357 387 391 459 483 621 731 903 989 1071 1161 1173 1449 2193 2709 2737 2967 3213 3519 4347 5117 6579 6923 8127 8211 8901 10557 15351 16813 19737 20769 24633 26703 46053 50439 62307 73899 117691 138159 151317 186921 353073 453951 668513 1059219 2005539 3177657 4679591 6016617 11364721 14038773 15375799 18049851 28746059 34094163 42116319 46127397 79553047 86238177 102282489 107630593 126348957 138382191 201222413 238659141 258714531 261388583 306847467 322891779 415146573 488683003 603667239 661159357 715977423 776143593 784165749 968675337 1466049009 1811001717 1829720081 1983478071 2147932269 2352497247 2906026011 3420781021 4398147027 4628115499 5433005151 5489160243 5950434213 7057491741 10262343063 11239709069 13194441081 13884346497 16467480729 17851302639 30787029189 33719127207 41653039491 49402442187 78677963483 92361087567 101157381621 124959118473 236033890449 303472144863 708101671347 2124305014041