Search a number
-
+
102202220112 = 2432129212919
BaseRepresentation
bin101111100101110111…
…0100001111001010000
3100202210122111201022120
41133023232201321100
53133302232020422
6114541232134240
710245444352206
oct1371356417120
9322718451276
10102202220112
113a386541723
1217983397380
139839b3a775
144d37719076
1529d274445c
hex17cbba1e50

102202220112 has 20 divisors (see below), whose sum is σ = 264022402080. Its totient is φ = 34067406688.

The previous prime is 102202220063. The next prime is 102202220129. The reversal of 102202220112 is 211022202201.

It is a super-3 number, since 3×1022022201123 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202220091 and 102202220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064606412 + ... + 1064606507.

It is an arithmetic number, because the mean of its divisors is an integer number (13201120104).

Almost surely, 2102202220112 is an apocalyptic number.

102202220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102202220112 is an abundant number, since it is smaller than the sum of its proper divisors (161820181968).

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

102202220112 is a wasteful number, since it uses less digits than its factorization.

102202220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129212930 (or 2129212924 counting only the distinct ones).

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

Adding to 102202220112 its reverse (211022202201), we get a palindrome (313224422313).

The spelling of 102202220112 in words is "one hundred two billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2129212919 4258425838 6387638757 8516851676 12775277514 17033703352 25550555028 34067406704 51101110056 102202220112