Search a number
-
+
4120400011 = 713291561349
BaseRepresentation
bin1111010110011000…
…0101000010001011
3101122011021000012211
43311212011002023
531414310300021
61520510245551
7204051552010
oct36546050213
911564230184
104120400011
111824949572
1296bab68b7
13508858720
142b1335707
15191b093e1
hexf598508b

4120400011 has 16 divisors (see below), whose sum is σ = 5246136000. Its totient is φ = 3147677568.

The previous prime is 4120399991. The next prime is 4120400017. The reversal of 4120400011 is 1100040214.

It is not a de Polignac number, because 4120400011 - 213 = 4120391819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 4120399964 and 4120400000.

It is not an unprimeable number, because it can be changed into a prime (4120400017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778036 + ... + 783313.

It is an arithmetic number, because the mean of its divisors is an integer number (327883500).

Almost surely, 24120400011 is an apocalyptic number.

4120400011 is a deficient number, since it is larger than the sum of its proper divisors (1125735989).

4120400011 is a wasteful number, since it uses less digits than its factorization.

4120400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561398.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4120400011 is about 64190.3420383472. The cubic root of 4120400011 is about 1603.1707968941.

Adding to 4120400011 its reverse (1100040214), we get a palindrome (5220440225).

The spelling of 4120400011 in words is "four billion, one hundred twenty million, four hundred thousand, eleven".

Divisors: 1 7 13 29 91 203 377 2639 1561349 10929443 20297537 45279121 142082759 316953847 588628573 4120400011