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2124009297 = 3619891723
BaseRepresentation
bin111111010011001…
…1100111101010001
312111000200212000000
41332212130331101
513322221244142
6550432520213
7103430531634
oct17646347521
95430625000
102124009297
1199aa47693
124b33b0069
1327b076147
14162139c1b
15c670b14c
hex7e99cf51

2124009297 has 56 divisors (see below), whose sum is σ = 3391797600. Its totient is φ = 1325636928.

The previous prime is 2124009253. The next prime is 2124009301. The reversal of 2124009297 is 7929004212.

It is not a de Polignac number, because 2124009297 - 227 = 1989791569 is a prime.

It is a super-2 number, since 2×21240092972 = 9022830987484868418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124009697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1231878 + ... + 1233600.

Almost surely, 22124009297 is an apocalyptic number.

2124009297 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2124009297 is a deficient number, since it is larger than the sum of its proper divisors (1267788303).

2124009297 is an equidigital number, since it uses as much as digits as its factorization.

2124009297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2124009297 is about 46086.9753509601. The cubic root of 2124009297 is about 1285.4409700458.

The spelling of 2124009297 in words is "two billion, one hundred twenty-four million, nine thousand, two hundred ninety-seven".

Divisors: 1 3 9 19 27 57 81 89 171 243 267 513 729 801 1539 1691 1723 2403 4617 5073 5169 7209 13851 15219 15507 21627 32737 45657 46521 64881 98211 136971 139563 153347 294633 410913 418689 460041 883899 1232739 1256067 1380123 2651697 2913593 4140369 7955091 8740779 12421107 23865273 26222337 37263321 78667011 111789963 236001033 708003099 2124009297