Search a number
-
+
102212222220 = 223351711398533
BaseRepresentation
bin101111100110001010…
…0101011110100001100
3100202211100022212122000
41133030110223310030
53133312312102340
6114542230352300
710245625360653
oct1371424536414
9322740285560
10102212222220
113a391153429
12179867bb690
13983bc30284
144d38ba019a
1529d356cd30
hex17cc52bd0c

102212222220 has 192 divisors, whose sum is σ = 339682170240. Its totient is φ = 25425985536.

The previous prime is 102212222213. The next prime is 102212222221. The reversal of 102212222220 is 22222212201.

102212222220 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 222 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102212222193 and 102212222202.

It is not an unprimeable number, because it can be changed into a prime (102212222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 988074 + ... + 1086606.

It is an arithmetic number, because the mean of its divisors is an integer number (1769177970).

Almost surely, 2102212222220 is an apocalyptic number.

102212222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169841085120).

102212222220 is an abundant number, since it is smaller than the sum of its proper divisors (237469948020).

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

102212222220 is a wasteful number, since it uses less digits than its factorization.

102212222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98681 (or 98673 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102212222220 its reverse (22222212201), we get a palindrome (124434434421).

The spelling of 102212222220 in words is "one hundred two billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty".