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2112124013 = 17677923473
BaseRepresentation
bin111110111100100…
…0111010001101101
312110012100000110022
41331321013101231
513311200432023
6545330051525
7103224520646
oct17571072155
95405300408
102112124013
1199426a03a
124ab419ba5
1327877442c
141607246cd
15c565e7c8
hex7de4746d

2112124013 has 16 divisors (see below), whose sum is σ = 2298574080. Its totient is φ = 1933341696.

The previous prime is 2112123977. The next prime is 2112124033. The reversal of 2112124013 is 3104212112.

It is a cyclic number.

It is not a de Polignac number, because 2112124013 - 28 = 2112123757 is a prime.

It is a super-2 number, since 2×21121240132 = 8922135692582448338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2112123982 and 2112124000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112124033) 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 15 ways as a sum of consecutive naturals, for example, 78245 + ... + 101717.

It is an arithmetic number, because the mean of its divisors is an integer number (143660880).

Almost surely, 22112124013 is an apocalyptic number.

It is an amenable number.

2112124013 is a deficient number, since it is larger than the sum of its proper divisors (186450067).

2112124013 is a wasteful number, since it uses less digits than its factorization.

2112124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23636.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2112124013 is about 45957.8503957703. The cubic root of 2112124013 is about 1283.0388436252.

Adding to 2112124013 its reverse (3104212112), we get a palindrome (5216336125).

The spelling of 2112124013 in words is "two billion, one hundred twelve million, one hundred twenty-four thousand, thirteen".

Divisors: 1 17 67 79 1139 1343 5293 23473 89981 399041 1572691 1854367 26735747 31524239 124242589 2112124013