Search a number
-
+
4661260101 = 34198934031
BaseRepresentation
bin1000101011101010…
…10010111101000101
3110000211222112210000
410111311102331011
534021240310401
62050310551513
7223340025411
oct42565227505
913024875700
104661260101
111a82183783
12aa1068599
13593918994
143230c5d41
151c4344186
hex115d52f45

4661260101 has 40 divisors (see below), whose sum is σ = 7412169600. Its totient is φ = 2910790080.

The previous prime is 4661260081. The next prime is 4661260133. The reversal of 4661260101 is 1010621664.

4661260101 is a `hidden beast` number, since 46 + 6 + 12 + 601 + 0 + 1 = 666.

It is not a de Polignac number, because 4661260101 - 225 = 4627705669 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661260181) 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 39 ways as a sum of consecutive naturals, for example, 119956 + ... + 153986.

It is an arithmetic number, because the mean of its divisors is an integer number (185304240).

Almost surely, 24661260101 is an apocalyptic number.

It is an amenable number.

4661260101 is a deficient number, since it is larger than the sum of its proper divisors (2750909499).

4661260101 is a wasteful number, since it uses less digits than its factorization.

4661260101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34151 (or 34142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4661260101 is about 68273.4216295038. The cubic root of 4661260101 is about 1670.4537116876.

Adding to 4661260101 its reverse (1010621664), we get a palindrome (5671881765).

The spelling of 4661260101 in words is "four billion, six hundred sixty-one million, two hundred sixty thousand, one hundred one".

Divisors: 1 3 9 19 27 57 81 89 171 267 513 801 1539 1691 2403 5073 7209 15219 34031 45657 102093 136971 306279 646589 918837 1939767 2756511 3028759 5819301 9086277 17457903 27258831 52373709 57546421 81776493 172639263 245329479 517917789 1553753367 4661260101