Search a number
-
+
112002002121220 = 225232942227198829
BaseRepresentation
bin11001011101110101111111…
…100011001111001000000100
3112200120021202002201221001221
4121131311333203033020010
5104140020100020334340
61034113002013130124
732406610011003001
oct3135657743171004
9480507662657057
10112002002121220
1132761867347312
121068a8a3a89944
134a65988573533
141d92cd667c8a8
15ce366837144a
hex65dd7f8cf204

112002002121220 has 96 divisors (see below), whose sum is σ = 253900883577600. Its totient is φ = 41374064438784.

The previous prime is 112002002121193. The next prime is 112002002121227. The reversal of 112002002121220 is 22121200200211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112002002121194 and 112002002121203.

It is not an unprimeable number, because it can be changed into a prime (112002002121227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563208766 + ... + 563407594.

It is an arithmetic number, because the mean of its divisors is an integer number (2644800870600).

Almost surely, 2112002002121220 is an apocalyptic number.

112002002121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002002121220 is an abundant number, since it is smaller than the sum of its proper divisors (141898881456380).

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

112002002121220 is a wasteful number, since it uses less digits than its factorization.

112002002121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241117 (or 241115 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112002002121220 its reverse (22121200200211), we get a palindrome (134123202321431).

The spelling of 112002002121220 in words is "one hundred twelve trillion, two billion, two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 42227 84454 168908 198829 211135 397658 422270 795316 844540 971221 994145 1224583 1942442 1988290 2449166 3884884 3976580 4573067 4856105 4898332 5766041 6122915 9146134 9712210 11532082 12245830 18292268 19424420 22865335 23064164 24491660 28165409 28830205 45730670 56330818 57660410 91461340 112661636 115320820 132618943 140827045 265237886 281654090 530475772 563308180 663094715 1326189430 2652378860 8395952183 16791904366 33583808732 41979760915 83959521830 167919043660 193106900209 243482613307 386213800418 486965226614 772427600836 965534501045 973930453228 1217413066535 1931069002090 2434826133070 3862138004180 4869652266140 5600100106061 11200200212122 22400400424244 28000500530305 56001001060610 112002002121220