Search a number
-
+
102212110220 = 22511795881019
BaseRepresentation
bin101111100110001010…
…0010000011110001100
3100202211100010011222212
41133030110100132030
53133312300011340
6114542224125552
710245624413303
oct1371424203614
9322740104885
10102212110220
113a391087270
12179867668b8
13983bbc12bc
144d38b7143a
1529d3549a65
hex17cc51078c

102212110220 has 48 divisors (see below), whose sum is σ = 237122726400. Its totient is φ = 36697552320.

The previous prime is 102212110201. The next prime is 102212110223. The reversal of 102212110220 is 22011212201.

102212110220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102212110195 and 102212110204.

It is not an unprimeable number, because it can be changed into a prime (102212110223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2923130 + ... + 2957889.

It is an arithmetic number, because the mean of its divisors is an integer number (4940056800).

Almost surely, 2102212110220 is an apocalyptic number.

102212110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212110220 is an abundant number, since it is smaller than the sum of its proper divisors (134910616180).

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

102212110220 is a wasteful number, since it uses less digits than its factorization.

102212110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881118 (or 5881116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212110220 its reverse (22011212201), we get a palindrome (124223322421).

The spelling of 102212110220 in words is "one hundred two billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 5881019 11762038 23524076 29405095 58810190 64691209 117620380 129382418 258764836 323456045 464600501 646912090 929201002 1293824180 1858402004 2323002505 4646005010 5110605511 9292010020 10221211022 20442422044 25553027555 51106055110 102212110220