Search a number
-
+
213223223030103 = 321121316379200567
BaseRepresentation
bin110000011110110011100110…
…011101110111000101010111
31000221221221102000122102201100
4300132303212131313011113
5210421422130043430403
62033253221342201143
762624604144456306
oct6036634635670527
91027857360572640
10213223223030103
1161a37508756500
121bab8109b831b3
1391c8b2c5b42a0
143a920b80b443d
15199b65a8632a3
hexc1ece6777157

213223223030103 has 72 divisors (see below), whose sum is σ = 364797258475104. Its totient is φ = 119212837729920.

The previous prime is 213223223030029. The next prime is 213223223030131. The reversal of 213223223030103 is 301030322322312.

213223223030103 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 322 + 30 + 301 + 0 + 3 = 666.

It is not a de Polignac number, because 213223223030103 - 28 = 213223223029847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223223030173) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18574726 + ... + 27775292.

It is an arithmetic number, because the mean of its divisors is an integer number (5066628589932).

Almost surely, 2213223223030103 is an apocalyptic number.

213223223030103 is a deficient number, since it is larger than the sum of its proper divisors (151574035445001).

213223223030103 is a wasteful number, since it uses less digits than its factorization.

213223223030103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202245 (or 9202231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213223223030103 its reverse (301030322322312), we get a palindrome (514253545352415).

The spelling of 213223223030103 in words is "two hundred thirteen trillion, two hundred twenty-three billion, two hundred twenty-three million, thirty thousand, one hundred three".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 1637 4719 4911 14157 14733 18007 21281 54021 63843 162063 191529 198077 234091 594231 702273 1782693 2106819 2575001 7725003 9200567 23175009 27601701 82805103 101206237 119607371 303618711 358822113 910856133 1076466339 1113268607 1315681081 3339805821 3947043243 10019417463 11841129729 14472491891 15061328179 43417475673 45183984537 130252427019 135551953611 165674609969 195797266327 497023829907 587391798981 1491071489721 1762175396943 1822420709659 2153769929597 5467262128977 6461309788791 16401786386931 19383929366373 23691469225567 71074407676701 213223223030103