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214102313223 = 317293131714731
BaseRepresentation
bin1100011101100101111…
…1100000100100000111
3202110122011021102102120
43013121133200210013
512001440143010343
6242205055341023
721316440430551
oct3073137404407
9673564242376
10214102313223
11828891a0917
12355b2521773
1317260ba1706
14a510dcc4d1
155881567683
hex31d97e0907

214102313223 has 64 divisors (see below), whose sum is σ = 323811717120. Its totient is φ = 125117798400.

The previous prime is 214102313197. The next prime is 214102313231. The reversal of 214102313223 is 322313201412.

214102313223 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 214102313223 - 226 = 214035204359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214102313193 and 214102313202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214102311223) 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 63 ways as a sum of consecutive naturals, for example, 14526768 + ... + 14541498.

It is an arithmetic number, because the mean of its divisors is an integer number (5059558080).

Almost surely, 2214102313223 is an apocalyptic number.

214102313223 is a deficient number, since it is larger than the sum of its proper divisors (109709403897).

214102313223 is a wasteful number, since it uses less digits than its factorization.

214102313223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15128.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214102313223 its reverse (322313201412), we get a palindrome (536415514635).

The spelling of 214102313223 in words is "two hundred fourteen billion, one hundred two million, three hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 3 17 29 31 51 87 93 317 493 527 899 951 1479 1581 2697 5389 9193 9827 14731 15283 16167 27579 29481 44193 45849 156281 167059 250427 284983 427199 456661 468843 501177 751281 854949 1281597 1369983 4669727 4844711 7262383 7763237 13243169 14009181 14534133 21787149 23289711 39729507 79385359 135422083 144761537 225133873 238156077 406266249 434284611 675401619 2302175411 2460946129 4198084573 6906526233 7382838387 12594253719 71367437741 214102313223