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211312223034 = 231123838391999
BaseRepresentation
bin1100010011001100110…
…0001010001100111010
3202012102201020011012220
43010303030022030322
511430231412114114
6241024150144510
721160341155043
oct3046314121472
9665381204186
10211312223034
1181687271860
1234b54052136
1316c07b33c83
14a3286278ca
15576b6390a9
hex313330a33a

211312223034 has 128 divisors (see below), whose sum is σ = 487710720000. Its totient is φ = 60409609920.

The previous prime is 211312223033. The next prime is 211312223041. The reversal of 211312223034 is 430322213112.

It is a junction number, because it is equal to n+sod(n) for n = 211312222995 and 211312223013.

It is not an unprimeable number, because it can be changed into a prime (211312223033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105707967 + ... + 105709965.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240000).

Almost surely, 2211312223034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211312223034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360000).

211312223034 is an abundant number, since it is smaller than the sum of its proper divisors (276398496966).

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

211312223034 is a wasteful number, since it uses less digits than its factorization.

211312223034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960.

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

Adding to 211312223034 its reverse (430322213112), we get a palindrome (641634436146).

The spelling of 211312223034 in words is "two hundred eleven billion, three hundred twelve million, two hundred twenty-three thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 83 138 166 249 253 498 506 759 839 913 1518 1678 1826 1909 1999 2517 2739 3818 3998 5034 5478 5727 5997 9229 11454 11994 18458 19297 20999 21989 27687 38594 41998 43978 45977 55374 57891 62997 65967 69637 91954 115782 125994 131934 137931 139274 165917 208911 212267 275862 331834 417822 424534 497751 505747 636801 766007 995502 1011494 1273602 1517241 1532014 1601651 1677161 1825087 2298021 3034482 3203302 3354322 3650174 3816091 4596042 4804953 5031483 5475261 7632182 9609906 10062966 10950522 11448273 17618161 18448771 22896546 35236322 36897542 38574703 41977001 52854483 55346313 77149406 83954002 105708966 110692626 115724109 125931003 139204363 231448218 251862006 278408726 417613089 424321733 835226178 848643466 1272965199 1531247993 2545930398 3062495986 3201700349 4593743979 6403400698 9187487958 9605101047 19210202094 35218703839 70437407678 105656111517 211312223034