Search a number
-
+
4282101681 = 3111315763577
BaseRepresentation
bin1111111100111011…
…1010111110110001
3102001102112022012120
43333032322332301
532232204223211
61544524144453
7211054156314
oct37716727661
912042468176
104282101681
1118a8153410
129b6098129
135331c38a0
142c89c897b
151a0dead06
hexff3bafb1

4282101681 has 32 divisors (see below), whose sum is σ = 6750457728. Its totient is φ = 2380285440.

The previous prime is 4282101679. The next prime is 4282101689. The reversal of 4282101681 is 1861012824.

4282101681 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4282101681 - 21 = 4282101679 is a prime.

It is a super-2 number, since 2×42821016812 = 36672789612846051522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4282101689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35565 + ... + 99141.

It is an arithmetic number, because the mean of its divisors is an integer number (210951804).

Almost surely, 24282101681 is an apocalyptic number.

It is an amenable number.

4282101681 is a deficient number, since it is larger than the sum of its proper divisors (2468356047).

4282101681 is a wasteful number, since it uses less digits than its factorization.

4282101681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63761.

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 4282101681 is about 65437.7695295309. The cubic root of 4282101681 is about 1623.8739883429.

The spelling of 4282101681 in words is "four billion, two hundred eighty-two million, one hundred one thousand, six hundred eighty-one".

Divisors: 1 3 11 13 33 39 143 157 429 471 1727 2041 5181 6123 22451 63577 67353 190731 699347 826501 2098041 2479503 9091511 9981589 27274533 29944767 109797479 129760657 329392437 389281971 1427367227 4282101681