Search a number
-
+
121144001 = 1131355261
BaseRepresentation
bin1110011100010…
…00001011000001
322102221202022212
413032020023001
5222003102001
620004311505
73000464336
oct716101301
9272852285
10121144001
1162423310
12346a2595
131c137854
141213698d
15a97e7bb
hex73882c1

121144001 has 8 divisors (see below), whose sum is σ = 136420608. Its totient is φ = 106578000.

The previous prime is 121143983. The next prime is 121144007. The reversal of 121144001 is 100441121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 121144001 - 210 = 121142977 is a prime.

It is a super-3 number, since 3×1211440013 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121144007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177290 + ... + 177971.

It is an arithmetic number, because the mean of its divisors is an integer number (17052576).

Almost surely, 2121144001 is an apocalyptic number.

121144001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121144001 is a deficient number, since it is larger than the sum of its proper divisors (15276607).

121144001 is a wasteful number, since it uses less digits than its factorization.

121144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355303.

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

The square root of 121144001 is about 11006.5435537229. The cubic root of 121144001 is about 494.8048763305.

Adding to 121144001 its reverse (100441121), we get a palindrome (221585122).

The spelling of 121144001 in words is "one hundred twenty-one million, one hundred forty-four thousand, one".

Divisors: 1 11 31 341 355261 3907871 11013091 121144001