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214333204323 = 37231388112119
BaseRepresentation
bin1100011110011101000…
…0010010011101100011
3202111020020201220110210
43013213100102131203
512002423300014243
6242244024225203
721325243114500
oct3074720223543
9674206656423
10214333204323
1182997562807
123565790b203
1317299983474
14a5339324a7
155896974933
hex31e7412763

214333204323 has 48 divisors (see below), whose sum is σ = 343275632640. Its totient is φ = 118484956800.

The previous prime is 214333204291. The next prime is 214333204381. The reversal of 214333204323 is 323402333412.

214333204323 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 214333204323 - 25 = 214333204291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214333204223) 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 47 ways as a sum of consecutive naturals, for example, 17679658 + ... + 17691776.

It is an arithmetic number, because the mean of its divisors is an integer number (7151575680).

Almost surely, 2214333204323 is an apocalyptic number.

214333204323 is a deficient number, since it is larger than the sum of its proper divisors (128942428317).

214333204323 is a wasteful number, since it uses less digits than its factorization.

214333204323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16041 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 214333204323 its reverse (323402333412), we get a palindrome (537735537735).

The spelling of 214333204323 in words is "two hundred fourteen billion, three hundred thirty-three million, two hundred four thousand, three hundred twenty-three".

Divisors: 1 3 7 21 31 49 93 147 217 651 1519 3881 4557 11643 12119 27167 36357 81501 84833 120311 190169 254499 360933 375689 570507 593831 842177 1127067 1781493 2526531 2629823 5895239 7889469 17685717 18408761 47033839 55226283 141101517 329236873 987710619 1458049009 2304658111 4374147027 6913974333 10206343063 30619029189 71444401441 214333204323