Search a number
-
+
102112222212 = 2233711133130469
BaseRepresentation
bin101111100011001011…
…1001101110000000100
3100202120101011100102000
41133012113031300010
53133111212102322
6114524255145300
710243302365520
oct1370627156004
9322511140360
10102112222212
113a33a7619a0
1217959215230
1398242b9780
144d297acd80
1529c98b83ac
hex17c65cdc04

102112222212 has 384 divisors, whose sum is σ = 366927052800. Its totient is φ = 23691916800.

The previous prime is 102112222189. The next prime is 102112222217. The reversal of 102112222212 is 212222211201.

It is a happy number.

102112222212 is a `hidden beast` number, since 10 + 211 + 222 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102112222217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3336114 + ... + 3366582.

It is an arithmetic number, because the mean of its divisors is an integer number (955539200).

Almost surely, 2102112222212 is an apocalyptic number.

102112222212 is a gapful number since it is divisible by the number (12) 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 102112222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183463526400).

102112222212 is an abundant number, since it is smaller than the sum of its proper divisors (264814830588).

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

102112222212 is a wasteful number, since it uses less digits than its factorization.

102112222212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30544 (or 30536 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102112222212 its reverse (212222211201), we get a palindrome (314334433413).

The spelling of 102112222212 in words is "one hundred two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twelve".