Search a number
-
+
4003131100331 = 113124148711151
BaseRepresentation
bin111010010000001101001…
…101010000110010101011
3112011200210002102002010002
4322100031031100302223
51011041403030202311
612303002452213215
7562134214631366
oct72201515206253
915150702362102
104003131100331
11130379a1656a0
12547a0060a20b
132306556c251c
14dba771110dd
156e1e5ce893b
hex3a40d350cab

4003131100331 has 16 divisors (see below), whose sum is σ = 4526629933056. Its totient is φ = 3507202800000.

The previous prime is 4003131100307. The next prime is 4003131100349. The reversal of 4003131100331 is 1330011313004.

It is a cyclic number.

It is not a de Polignac number, because 4003131100331 - 222 = 4003126906027 is a prime.

It is a super-2 number, since 2×40031311003312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4003131100531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24273395 + ... + 24437756.

It is an arithmetic number, because the mean of its divisors is an integer number (282914370816).

Almost surely, 24003131100331 is an apocalyptic number.

4003131100331 is a deficient number, since it is larger than the sum of its proper divisors (523498832725).

4003131100331 is a wasteful number, since it uses less digits than its factorization.

4003131100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48711434.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 4003131100331 its reverse (1330011313004), we get a palindrome (5333142413335).

The spelling of 4003131100331 in words is "four trillion, three billion, one hundred thirty-one million, one hundred thousand, three hundred thirty-one".

Divisors: 1 11 31 241 341 2651 7471 82181 48711151 535822661 1510045681 11739387391 16610502491 129133261301 363921009121 4003131100331