Search a number
-
+
10010522004021 = 33741119738847
BaseRepresentation
bin1001000110101100000110…
…0110111010101000110101
31022102222220111020102212000
42101223001212322220311
52303003022113112041
633142434220045513
72052144032040000
oct221530146725065
938388814212760
1010010522004021
11320a490774410
121158133693899
13577cb00333c6
14268724734537
151255e3a63bb6
hex91ac19baa35

10010522004021 has 160 divisors (see below), whose sum is σ = 19867327180800. Its totient is φ = 4926566020320.

The previous prime is 10010522004001. The next prime is 10010522004037. The reversal of 10010522004021 is 12040022501001.

10010522004021 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 52 + 200 + 402 + 1 = 666.

It is not a de Polignac number, because 10010522004021 - 29 = 10010522003509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010522003985 and 10010522004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010522004001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13179420 + ... + 13918266.

It is an arithmetic number, because the mean of its divisors is an integer number (124170794880).

Almost surely, 210010522004021 is an apocalyptic number.

10010522004021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010522004021 is a deficient number, since it is larger than the sum of its proper divisors (9856805176779).

10010522004021 is an equidigital number, since it uses as much as digits as its factorization.

10010522004021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738914 (or 738887 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10010522004021 its reverse (12040022501001), we get a palindrome (22050544505022).

The spelling of 10010522004021 in words is "ten trillion, ten billion, five hundred twenty-two million, four thousand, twenty-one".

Divisors: 1 3 7 9 11 19 21 27 33 49 57 63 77 99 133 147 171 189 209 231 297 343 399 441 513 539 627 693 931 1029 1197 1323 1463 1617 1881 2079 2401 2793 3087 3591 3773 4389 4851 5643 6517 7203 8379 9261 10241 11319 13167 14553 19551 21609 25137 26411 30723 33957 39501 45619 58653 64827 71687 79233 92169 101871 136857 175959 215061 237699 276507 410571 501809 645183 713097 738847 1231713 1505427 1935549 2216541 4516281 5171929 6649623 8127317 13548843 14038093 15515787 19948869 24381951 36203503 42114279 46547361 56891219 73145853 98266651 108610509 126342837 139642083 154419023 170673657 219437559 253424521 294799953 325831527 379028511 398238533 463257069 512020971 687866557 760273563 884399859 977494581 1080933161 1194715599 1389771207 1536062913 1773971647 2063599671 2280820689 2653199577 2787669731 3242799483 3584146797 4169313621 4815065899 5321914941 6190799013 6842462067 7566532127 8363009193 9728398449 10752440391 14445197697 15965744823 18572397039 19513688117 22699596381 25089027579 29185195347 33705461293 43335593091 47897234469 52965724889 58541064351 68098789143 75267082737 101116383879 130006779273 158897174667 175623193053 204296367429 303349151637 370760074223 476691524001 526869579159 910047454911 1112280222669 1430074572003 3336840668007 10010522004021