Search a number
-
+
121027104 = 253211223151
BaseRepresentation
bin1110011011010…
…11101000100000
322102201210222100
413031223220200
5221440331404
620002010400
72666466462
oct715535040
9272653870
10121027104
1162353500
1234646a00
131c0c6593
1412106132
15a959d39
hex736ba20

121027104 has 216 divisors, whose sum is σ = 397365696. Its totient is φ = 34848000.

The previous prime is 121027103. The next prime is 121027177. The reversal of 121027104 is 401720121.

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 (121027103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801429 + ... + 801579.

It is an arithmetic number, because the mean of its divisors is an integer number (1839656).

Almost surely, 2121027104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198682848).

121027104 is an abundant number, since it is smaller than the sum of its proper divisors (276338592).

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

121027104 is a wasteful number, since it uses less digits than its factorization.

121027104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121027104 is about 11001.2319310157. The cubic root of 121027104 is about 494.6456723540.

Adding to 121027104 its reverse (401720121), we get a palindrome (522747225).

The spelling of 121027104 in words is "one hundred twenty-one million, twenty-seven thousand, one hundred four".