Search a number
-
+
1014226224101 = 31277118111823
BaseRepresentation
bin11101100001001001001…
…10000000001111100101
310120221220011120111011222
432300210212000033211
5113104113403132401
62053532403510125
7133163320443026
oct16604446001745
93527804514158
101014226224101
113611492986a2
12144692388345
137484471411c
14371359aac4d
151b5b0683c1b
hexec249803e5

1014226224101 has 8 divisors (see below), whose sum is σ = 1050722786304. Its totient is φ = 977965886160.

The previous prime is 1014226224049. The next prime is 1014226224149.

1014226224101 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 1014226224101 - 214 = 1014226207717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014225224101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59047325 + ... + 59064498.

It is an arithmetic number, because the mean of its divisors is an integer number (131340348288).

Almost surely, 21014226224101 is an apocalyptic number.

It is an amenable number.

1014226224101 is a deficient number, since it is larger than the sum of its proper divisors (36496562203).

1014226224101 is a wasteful number, since it uses less digits than its factorization.

1014226224101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118112131.

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 1014226224101 in words is "one trillion, fourteen billion, two hundred twenty-six million, two hundred twenty-four thousand, one hundred one".

Divisors: 1 31 277 8587 118111823 3661466513 32716974971 1014226224101