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13828012227 = 331575935501
BaseRepresentation
bin11001110000011011…
…01011100011000011
31022200200211210201000
430320031223203003
5211304432342402
610204050143043
7666446110311
oct147015534303
938620753630
1013828012227
115956609287
12281ab81a83
1313c4ab1b73
149527070b1
1555deadc1c
hex33836b8c3

13828012227 has 32 divisors (see below), whose sum is σ = 20654948160. Its totient is φ = 9142848000.

The previous prime is 13828012217. The next prime is 13828012273. The reversal of 13828012227 is 72221082831.

13828012227 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13828012227 - 214 = 13827995843 is a prime.

It is a super-2 number, since 2×138280122272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13828012191 and 13828012200.

It is not an unprimeable number, because it can be changed into a prime (13828012217) 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 31 ways as a sum of consecutive naturals, for example, 2510977 + ... + 2516477.

It is an arithmetic number, because the mean of its divisors is an integer number (645467130).

Almost surely, 213828012227 is an apocalyptic number.

13828012227 is a deficient number, since it is larger than the sum of its proper divisors (6826935933).

13828012227 is a wasteful number, since it uses less digits than its factorization.

13828012227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13828012227 in words is "thirteen billion, eight hundred twenty-eight million, twelve thousand, two hundred twenty-seven".

Divisors: 1 3 9 27 157 471 593 1413 1779 4239 5337 5501 16011 16503 49509 93101 148527 279303 837909 863657 2513727 2590971 3262093 7772913 9786279 23318739 29358837 88076511 512148601 1536445803 4609337409 13828012227