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2012013213 = 37412718623
BaseRepresentation
bin111011111101100…
…1110001010011101
312012012221212020220
41313323032022131
513110033410323
6531352231553
7100600554510
oct16773161235
95165855226
102012013213
11942802341
1248199b5b9
13260ac2382
14151304d77
15bb9870e3
hex77ece29d

2012013213 has 32 divisors (see below), whose sum is σ = 3152658432. Its totient is φ = 1117411200.

The previous prime is 2012013197. The next prime is 2012013217. The reversal of 2012013213 is 3123102102.

It is not a de Polignac number, because 2012013213 - 24 = 2012013197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012013192 and 2012013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012013217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229020 + ... + 237642.

It is an arithmetic number, because the mean of its divisors is an integer number (98520576).

Almost surely, 22012013213 is an apocalyptic number.

It is an amenable number.

2012013213 is a deficient number, since it is larger than the sum of its proper divisors (1140645219).

2012013213 is a wasteful number, since it uses less digits than its factorization.

2012013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2012013213 is about 44855.4702684076. The cubic root of 2012013213 is about 1262.4386325496.

Adding to 2012013213 its reverse (3123102102), we get a palindrome (5135115315).

Subtracting 2012013213 from its reverse (3123102102), we obtain a square (1111088889 = 333332).

It can be divided in two parts, 20120 and 13213, that added together give a palindrome (33333).

The spelling of 2012013213 in words is "two billion, twelve million, thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 21 41 123 271 287 813 861 1897 5691 8623 11111 25869 33333 60361 77777 181083 233331 353543 1060629 2336833 2474801 7010499 7424403 16357831 49073493 95810153 287430459 670671071 2012013213