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214332120233 = 71119370939499
BaseRepresentation
bin1100011110011100110…
…0001001110010101001
3202111020011200211101022
43013213030021302221
512002423010321413
6242243545102225
721325230651050
oct3074714116251
9674204624338
10214332120233
1182996992270
1235657487975
1317299693baa
14a53372d397
15589680d608
hex31e7309ca9

214332120233 has 32 divisors (see below), whose sum is σ = 281366400000. Its totient is φ = 158175270720.

The previous prime is 214332120221. The next prime is 214332120241. The reversal of 214332120233 is 332021233412.

It is a happy number.

214332120233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 214332120233 - 28 = 214332119977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214332120203) 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, 5406518 + ... + 5446016.

It is an arithmetic number, because the mean of its divisors is an integer number (8792700000).

Almost surely, 2214332120233 is an apocalyptic number.

It is an amenable number.

214332120233 is a deficient number, since it is larger than the sum of its proper divisors (67034279767).

214332120233 is a wasteful number, since it uses less digits than its factorization.

214332120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43245.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 214332120233 its reverse (332021233412), we get a palindrome (546353353645).

The spelling of 214332120233 in words is "two hundred fourteen billion, three hundred thirty-two million, one hundred twenty thousand, two hundred thirty-three".

Divisors: 1 7 11 19 77 133 209 1463 3709 25963 39499 40799 70471 276493 285593 434489 493297 750481 775181 3041423 5253367 5426267 8255291 57787037 146501791 1025512537 1611519701 2783534029 11280637907 19484738203 30618874319 214332120233