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2123212329 = 327377112829
BaseRepresentation
bin111111010001101…
…1010011000101001
312110222012100202200
41332203122120221
513322020243304
6550403450413
7103421002260
oct17643323051
95428170680
102123212329
1199a552937
124b3086a09
1327ab57474
14161dad5d7
15c65eee39
hex7e8da629

2123212329 has 48 divisors (see below), whose sum is σ = 3650699520. Its totient is φ = 1163756160.

The previous prime is 2123212319. The next prime is 2123212337. The reversal of 2123212329 is 9232123212.

2123212329 is a `hidden beast` number, since 2 + 12 + 321 + 2 + 329 = 666.

It is not a de Polignac number, because 2123212329 - 24 = 2123212313 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2123212309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159087 + ... + 171915.

It is an arithmetic number, because the mean of its divisors is an integer number (76056240).

Almost surely, 22123212329 is an apocalyptic number.

It is an amenable number.

2123212329 is a deficient number, since it is larger than the sum of its proper divisors (1527487191).

2123212329 is a wasteful number, since it uses less digits than its factorization.

2123212329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12947 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2123212329 is about 46078.3281923292. The cubic root of 2123212329 is about 1285.2801761048.

The spelling of 2123212329 in words is "two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 37 63 71 111 213 259 333 497 639 777 1491 2331 2627 4473 7881 12829 18389 23643 38487 55167 89803 115461 165501 269409 474673 808227 910859 1424019 2732577 3322711 4272057 6376013 8197731 9968133 19128039 29904399 33701783 57384117 101105349 235912481 303316047 707737443 2123212329