Search a number
-
+
212133430122 = 2317231093492377
BaseRepresentation
bin1100010110010000100…
…0110100001101101010
3202021112221110210120020
43011210020310031222
511433422124230442
6241241443341310
721216602255565
oct3054410641552
9667487423506
10212133430122
1181a688778a9
1235143081836
1317009000823
14a3a57134dc
1557b879e9ec
hex316423436a

212133430122 has 128 divisors (see below), whose sum is σ = 474610752000. Its totient is φ = 62866907136.

The previous prime is 212133430073. The next prime is 212133430129. The reversal of 212133430122 is 221034331212.

It is a junction number, because it is equal to n+sod(n) for n = 212133430092 and 212133430101.

It is not an unprimeable number, because it can be changed into a prime (212133430129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89242998 + ... + 89245374.

It is an arithmetic number, because the mean of its divisors is an integer number (3707896500).

Almost surely, 2212133430122 is an apocalyptic number.

212133430122 is an abundant number, since it is smaller than the sum of its proper divisors (262477321878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212133430122 is a wasteful number, since it uses less digits than its factorization.

212133430122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880.

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

Adding to 212133430122 its reverse (221034331212), we get a palindrome (433167761334).

The spelling of 212133430122 in words is "two hundred twelve billion, one hundred thirty-three million, four hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 109 138 218 327 349 391 654 698 782 1047 1173 1853 2094 2346 2377 2507 3706 4754 5014 5559 5933 7131 7521 8027 11118 11866 14262 15042 16054 17799 24081 35598 38041 40409 42619 48162 54671 76082 80818 85238 109342 114123 121227 127857 136459 164013 228246 242454 255714 259093 272918 328026 409377 518186 646697 777279 818754 829573 874943 929407 1293394 1554558 1659146 1749886 1858814 1940091 2488719 2624829 2788221 3880182 4404581 4977438 5249658 5576442 5959139 8809162 11918278 13213743 14102741 14874031 17877417 19080179 26427486 28205482 29748062 35754834 38160358 42308223 44622093 57240537 84616446 89244186 90423457 101305363 114481074 180846914 202610726 271270371 303916089 324363043 542540742 607832178 648726086 973089129 1537198769 1946178258 2079739511 3074397538 4159479022 4611596307 6239218533 9223192614 12478437066 35355571687 70711143374 106066715061 212133430122