Search a number
-
+
10221011002212 = 22343472383176857
BaseRepresentation
bin1001010010111100001110…
…1110101110001101100100
31100012010012211102102212220
42110233003232232031210
52314430112304032322
633423245001512340
72103305116021443
oct224570356561544
940163184372786
1010221011002212
11329078528215a
121190a97aa26b0
13591ab644228a
142749b18a8d5a
1512ad12c8955c
hex94bc3bae364

10221011002212 has 96 divisors (see below), whose sum is σ = 24933480456192. Its totient is φ = 3255582226176.

The previous prime is 10221011002183. The next prime is 10221011002217. The reversal of 10221011002212 is 21220011012201.

It is a super-3 number, since 3×102210110022123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221011002191 and 10221011002200.

It is not an unprimeable number, because it can be changed into a prime (10221011002217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57704088 + ... + 57880944.

It is an arithmetic number, because the mean of its divisors is an integer number (259723754752).

Almost surely, 210221011002212 is an apocalyptic number.

10221011002212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221011002212 is an abundant number, since it is smaller than the sum of its proper divisors (14712469453980).

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

10221011002212 is a wasteful number, since it uses less digits than its factorization.

10221011002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179337 (or 179335 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221011002212 its reverse (21220011012201), we get a palindrome (31441022014413).

The spelling of 10221011002212 in words is "ten trillion, two hundred twenty-one billion, eleven million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 47 86 94 129 141 172 188 258 282 516 564 2021 2383 4042 4766 6063 7149 8084 9532 12126 14298 24252 28596 102469 112001 176857 204938 224002 307407 336003 353714 409876 448004 530571 614814 672006 707428 1061142 1229628 1344012 2122284 4816043 7604851 8312279 9632086 14448129 15209702 16624558 19264172 22814553 24936837 28896258 30419404 33249116 45629106 49873674 57792516 91258212 99747348 357427997 421450231 714855994 842900462 1072283991 1264350693 1429711988 1685800924 2144567982 2528701386 4289135964 5057402772 18122359933 19808160857 36244719866 39616321714 54367079799 59424482571 72489439732 79232643428 108734159598 118848965142 217468319196 237697930284 851750916851 1703501833702 2555252750553 3407003667404 5110505501106 10221011002212