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2012122431 = 331121736229
BaseRepresentation
bin111011111101110…
…1000110100111111
312012020011102002000
41313323220310333
513110100404211
6531354433343
7100601521104
oct16773506477
95166142060
102012122431
11942877400
12481a32853
13260b2ccb7
14151332aab
15bb9a9656
hex77ee8d3f

2012122431 has 48 divisors (see below), whose sum is σ = 3469384800. Its totient is φ = 1147703040.

The previous prime is 2012122429. The next prime is 2012122447. The reversal of 2012122431 is 1342212102.

It is a happy number.

2012122431 is a `hidden beast` number, since 20 + 1 + 212 + 2 + 431 = 666.

It is not a de Polignac number, because 2012122431 - 21 = 2012122429 is a prime.

It is a super-2 number, since 2×20121224312 = 8097273354666699522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012122031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37425 + ... + 73653.

It is an arithmetic number, because the mean of its divisors is an integer number (72278850).

Almost surely, 22012122431 is an apocalyptic number.

2012122431 is a deficient number, since it is larger than the sum of its proper divisors (1457262369).

2012122431 is a wasteful number, since it uses less digits than its factorization.

2012122431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36277 (or 36260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2012122431 is about 44856.6876953705. The cubic root of 2012122431 is about 1262.4614750980.

Adding to 2012122431 its reverse (1342212102), we get a palindrome (3354334533).

The spelling of 2012122431 in words is "two billion, twelve million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 11 17 27 33 51 99 121 153 187 297 363 459 561 1089 1683 2057 3267 5049 6171 18513 36229 55539 108687 326061 398519 615893 978183 1195557 1847679 3586671 4383709 5543037 6774823 10760013 13151127 16629111 20324469 39453381 60973407 74523053 118360143 182920221 223569159 670707477 2012122431