Search a number
-
+
1022121222210 = 2325116167252617
BaseRepresentation
bin11101101111110110010…
…11000010000001000010
310121201021101101221120100
432313323023002001002
5113221301013102320
62101320033023230
7133563055016154
oct16677313020102
93551241357510
101022121222210
1136452a868620
121461163b4b16
1375502281b3a
1437684340ad4
151b8c383c790
hexedfb2c2042

1022121222210 has 192 divisors, whose sum is σ = 2990625266304. Its totient is φ = 240086246400.

The previous prime is 1022121222191. The next prime is 1022121222229. The reversal of 1022121222210 is 122221212201.

It is a happy number.

1022121222210 is a `hidden beast` number, since 1 + 0 + 221 + 212 + 22 + 210 = 666.

It is an interprime number because it is at equal distance from previous prime (1022121222191) and next prime (1022121222229).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3919822 + ... + 4172438.

It is an arithmetic number, because the mean of its divisors is an integer number (15576173262).

Almost surely, 21022121222210 is an apocalyptic number.

1022121222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495312633152).

1022121222210 is an abundant number, since it is smaller than the sum of its proper divisors (1968504044094).

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

1022121222210 is a wasteful number, since it uses less digits than its factorization.

1022121222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252769 (or 252766 counting only the distinct ones).

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

Adding to 1022121222210 its reverse (122221212201), we get a palindrome (1144342434411).

The spelling of 1022121222210 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred ten".