Search a number
-
+
10002131111 = 73335342841
BaseRepresentation
bin10010101000010110…
…00110100010100111
3221211001202220110102
421110023012202213
5130441021143421
64332300214315
7502601466050
oct112413064247
927731686412
1010002131111
114272a40165
121b3183a39b
13c3528549b
146ac559727
153d817e60b
hex2542c68a7

10002131111 has 8 divisors (see below), whose sum is σ = 11431616544. Its totient is φ = 8572798080.

The previous prime is 10002131089. The next prime is 10002131123. The reversal of 10002131111 is 11113120001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10002131111 - 210 = 10002130087 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002131092 and 10002131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002131311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212051 + ... + 254891.

It is an arithmetic number, because the mean of its divisors is an integer number (1428952068).

Almost surely, 210002131111 is an apocalyptic number.

10002131111 is a deficient number, since it is larger than the sum of its proper divisors (1429485433).

10002131111 is an equidigital number, since it uses as much as digits as its factorization.

10002131111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76201.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10002131111 its reverse (11113120001), we get a palindrome (21115251112).

The spelling of 10002131111 in words is "ten billion, two million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 7 33353 42841 233471 299887 1428875873 10002131111