Search a number
-
+
212033110023 = 33727310121737
BaseRepresentation
bin1100010101111000101…
…0001000000000000111
3202021021221201000021000
43011132022020000013
511433220434010043
6241223501224343
721214243461300
oct3053612100007
9667257630230
10212033110023
1181a17187929
12351155620b3
1316cc12a7417
14a39627b7a7
1557aea852d3
hex315e288007

212033110023 has 96 divisors (see below), whose sum is σ = 374098806720. Its totient is φ = 118313395200.

The previous prime is 212033110019. The next prime is 212033110027. The reversal of 212033110023 is 320011330212.

212033110023 is a `hidden beast` number, since 212 + 0 + 331 + 100 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (212033110019) and next prime (212033110027).

It is not a de Polignac number, because 212033110023 - 22 = 212033110019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212033109978 and 212033110005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212033110027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9743611 + ... + 9765347.

It is an arithmetic number, because the mean of its divisors is an integer number (3896862570).

Almost surely, 2212033110023 is an apocalyptic number.

212033110023 is a deficient number, since it is larger than the sum of its proper divisors (162065696697).

212033110023 is a wasteful number, since it uses less digits than its factorization.

212033110023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21934 (or 21921 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212033110023 its reverse (320011330212), we get a palindrome (532044440235).

The spelling of 212033110023 in words is "two hundred twelve billion, thirty-three million, one hundred ten thousand, twenty-three".

Divisors: 1 3 7 9 21 27 49 63 73 101 147 189 219 303 441 511 657 707 909 1323 1533 1971 2121 2727 3577 4599 4949 6363 7373 10731 13797 14847 19089 21737 22119 32193 44541 51611 65211 66357 96579 133623 152159 154833 195633 199071 361277 456477 464499 586899 1065113 1083831 1369431 1393497 1586801 2195437 3195339 3251493 4108293 4760403 6586311 9586017 9754479 11107607 14281209 15368059 19758933 28758051 33322821 42843627 46104177 59276799 77753249 99968463 107576413 138312531 160266901 233259747 299905389 322729239 414937593 480800703 699779241 968187717 1121868307 1442402109 2099337723 2904563151 3365604921 4327206327 7853078149 10096814763 23559234447 30290444289 70677703341 212033110023