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214213030311 = 3720175057323
BaseRepresentation
bin1100011110000000010…
…1110111000110100111
3202110220212121102201110
43013200011313012213
512002202013432221
6242224052400103
721322253500110
oct3074005670647
9673825542643
10214213030311
1182935742245
1235623616033
131727aac8297
14a5219ad207
15588b137776
hex31e01771a7

214213030311 has 16 divisors (see below), whose sum is σ = 326581754624. Its totient is φ = 122346733824.

The previous prime is 214213030261. The next prime is 214213030321. The reversal of 214213030311 is 113030312412.

214213030311 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 214213030311 - 29 = 214213029799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214213030321) 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 15 ways as a sum of consecutive naturals, for example, 2486305 + ... + 2571018.

It is an arithmetic number, because the mean of its divisors is an integer number (20411359664).

Almost surely, 2214213030311 is an apocalyptic number.

214213030311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214213030311 is a deficient number, since it is larger than the sum of its proper divisors (112368724313).

214213030311 is a wasteful number, since it uses less digits than its factorization.

214213030311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059350.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 214213030311 its reverse (113030312412), we get a palindrome (327243342723).

The spelling of 214213030311 in words is "two hundred fourteen billion, two hundred thirteen million, thirty thousand, three hundred eleven".

Divisors: 1 3 7 21 2017 6051 14119 42357 5057323 15171969 35401261 106203783 10200620491 30601861473 71404343437 214213030311