Search a number
-
+
3101735422331 = 713172005000273
BaseRepresentation
bin101101001000101101110…
…101101000100101111011
3101222112010021102012120222
4231020231311220211323
5401304323232003311
610332530110410255
7440043616035650
oct55105565504573
911875107365528
103101735422331
11a96490869307
12421178b0098b
13196652a3bc60
14aa1a661dc27
1555a3aeccadb
hex2d22dd6897b

3101735422331 has 16 divisors (see below), whose sum is σ = 4042080552384. Its totient is φ = 2309760313344.

The previous prime is 3101735422327. The next prime is 3101735422333. The reversal of 3101735422331 is 1332245371013.

It is a cyclic number.

It is not a de Polignac number, because 3101735422331 - 22 = 3101735422327 is a prime.

It is a super-2 number, since 2×31017354223312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3101735422291 and 3101735422300.

It is not an unprimeable number, because it can be changed into a prime (3101735422333) 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 15 ways as a sum of consecutive naturals, for example, 1002498590 + ... + 1002501683.

It is an arithmetic number, because the mean of its divisors is an integer number (252630034524).

Almost surely, 23101735422331 is an apocalyptic number.

3101735422331 is a deficient number, since it is larger than the sum of its proper divisors (940345130053).

3101735422331 is a wasteful number, since it uses less digits than its factorization.

3101735422331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005000310.

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 3101735422331 in words is "three trillion, one hundred one billion, seven hundred thirty-five million, four hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 13 17 91 119 221 1547 2005000273 14035001911 26065003549 34085004641 182455024843 238595032487 443105060333 3101735422331