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214224012431 = 11132375186729
BaseRepresentation
bin1100011110000010111…
…1110000010010001111
3202110221122021101100122
43013200233300102033
512002212321344211
6242225124015155
721322446030002
oct3074057602217
9673848241318
10214224012431
1182940963280
12356272314bb
1317280171b90
14a52322b539
15588c0a66db
hex31e0bf048f

214224012431 has 32 divisors (see below), whose sum is σ = 262970910720. Its totient is φ = 171721440000.

The previous prime is 214224012427. The next prime is 214224012461. The reversal of 214224012431 is 134210422412.

214224012431 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 214224012431 - 22 = 214224012427 is a prime.

It is a super-2 number, since 2×2142240124312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214224012431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214224012461) 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 31 ways as a sum of consecutive naturals, for example, 2426675 + ... + 2513403.

It is an arithmetic number, because the mean of its divisors is an integer number (8217840960).

Almost surely, 2214224012431 is an apocalyptic number.

214224012431 is a deficient number, since it is larger than the sum of its proper divisors (48746898289).

214224012431 is a wasteful number, since it uses less digits than its factorization.

214224012431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87527.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 214224012431 its reverse (134210422412), we get a palindrome (348434434843).

The spelling of 214224012431 in words is "two hundred fourteen billion, two hundred twenty-four million, twelve thousand, four hundred thirty-one".

Divisors: 1 11 13 23 143 253 299 751 3289 8261 9763 17273 86729 107393 190003 224549 954019 1127477 1994767 2470039 12402247 21942437 25931971 65133479 285251681 716468269 846735227 1498070017 9314087497 16478770187 19474910221 214224012431