Search a number
-
+
100002202220112 = 24317347353174981
BaseRepresentation
bin10110101111001110010011…
…101111010111011001010000
3111010002010011102011220100120
4112233032103233113121100
5101101414002232020422
6552404213311550240
730030630536536113
oct2657162357273120
9433063142156316
10100002202220112
11299557721127a5
12b27111b22b380
1343a5223473c7a
141a9a1bd4aa57a
15b86447cc945c
hex5af393bd7650

100002202220112 has 80 divisors (see below), whose sum is σ = 274323722818752. Its totient is φ = 31282827028480.

The previous prime is 100002202220099. The next prime is 100002202220237. The reversal of 100002202220112 is 211022202200001.

It is a super-3 number, since 3×1000022022201123 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002202220091 and 100002202220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176304339 + ... + 176870642.

Almost surely, 2100002202220112 is an apocalyptic number.

100002202220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002202220112 is an abundant number, since it is smaller than the sum of its proper divisors (174321520598640).

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

100002202220112 is a wasteful number, since it uses less digits than its factorization.

100002202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353175356 (or 353175350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100002202220112 its reverse (211022202200001), we get a palindrome (311024404420113).

The spelling of 100002202220112 in words is "one hundred trillion, two billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 347 408 694 816 1041 1388 2082 2776 4164 5552 5899 8328 11798 16656 17697 23596 35394 47192 70788 94384 141576 283152 353174981 706349962 1059524943 1412699924 2119049886 2825399848 4238099772 5650799696 6003974677 8476199544 12007949354 16952399088 18011924031 24015898708 36023848062 48031797416 72047696124 96063594832 122551718407 144095392248 245103436814 288190784496 367655155221 490206873628 735310310442 980413747256 1470620620884 1960827494512 2083379212919 2941241241768 4166758425838 5882482483536 6250137638757 8333516851676 12500275277514 16667033703352 25000550555028 33334067406704 50001101110056 100002202220112