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2124000213 = 31758770949
BaseRepresentation
bin111111010011001…
…1010101111010101
312111000200101112120
41332212122233111
513322221001323
6550432410153
7103430463306
oct17646325725
95430611476
102124000213
1199aa40885
124b33a6959
1327b071c7a
141621367ad
15c67085e3
hex7e99abd5

2124000213 has 16 divisors (see below), whose sum is σ = 3003739200. Its totient is φ = 1330416896.

The previous prime is 2124000211. The next prime is 2124000331. The reversal of 2124000213 is 3120004212.

It is a cyclic number.

It is not a de Polignac number, because 2124000213 - 21 = 2124000211 is a prime.

It is a super-2 number, since 2×21240002132 = 9022753809648090738, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124000192 and 2124000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124000211) 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, 5538 + ... + 65411.

It is an arithmetic number, because the mean of its divisors is an integer number (187733700).

Almost surely, 22124000213 is an apocalyptic number.

It is an amenable number.

2124000213 is a deficient number, since it is larger than the sum of its proper divisors (879738987).

2124000213 is a wasteful number, since it uses less digits than its factorization.

2124000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71556.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2124000213 is about 46086.8767980648. The cubic root of 2124000213 is about 1285.4391375111.

Adding to 2124000213 its reverse (3120004212), we get a palindrome (5244004425).

The spelling of 2124000213 in words is "two billion, one hundred twenty-four million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 17 51 587 1761 9979 29937 70949 212847 1206133 3618399 41647063 124941189 708000071 2124000213