Search a number
-
+
10212440645231 = 11231831031671907
BaseRepresentation
bin1001010010011100010011…
…1001011001111001101111
31100011022002112210012021222
42110213010321121321233
52314310034301121411
633415310325213555
72102552541133106
oct224470471317157
940138075705258
1010212440645231
113288087563100
12118b2a58612bb
1359104b9b1c26
142743db57303d
1512a9b06794db
hex949c4e59e6f

10212440645231 has 96 divisors (see below), whose sum is σ = 11917959266304. Its totient is φ = 8732909275200.

The previous prime is 10212440645191. The next prime is 10212440645233. The reversal of 10212440645231 is 13254604421201.

It is a happy number.

It is not a de Polignac number, because 10212440645231 - 230 = 10211366903407 is a prime.

It is a super-2 number, since 2×102124406452312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10212440645191 and 10212440645200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212440645233) 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, 5355237980 + ... + 5355239886.

It is an arithmetic number, because the mean of its divisors is an integer number (124145409024).

Almost surely, 210212440645231 is an apocalyptic number.

10212440645231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10212440645231 is a deficient number, since it is larger than the sum of its proper divisors (1705518621073).

10212440645231 is a wasteful number, since it uses less digits than its factorization.

10212440645231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 10212440645231 in words is "ten trillion, two hundred twelve billion, four hundred forty million, six hundred forty-five thousand, two hundred thirty-one".

Divisors: 1 11 31 83 103 121 167 341 913 1133 1837 1907 2573 3193 3751 5177 8549 10043 12463 13861 17201 20207 20977 28303 35123 56947 59117 94039 152471 158281 189211 196421 230747 265019 311333 318469 386353 429691 533231 626417 650287 1034429 1427683 1677181 1741091 2081321 2160631 2915209 3503159 4726601 4906711 5865541 6089051 7153157 9872539 15704513 16302943 19152001 23766941 26432927 32067299 32802307 38534749 44258173 51992611 53973821 64520951 66979561 108597929 172749643 179332373 290762197 360825377 486839903 505391233 593712031 736775171 819420737 1016871517 1194577219 1972656103 2722591481 3198384167 3969079147 5355238933 5559303563 9013628107 11185586687 29948506291 61152339193 84400335911 99149909177 123041453557 329433569201 928403695021 10212440645231