Search a number
-
+
10000331131011 = 3131808111418159
BaseRepresentation
bin1001000110000110001000…
…1011110100100010000011
31022102000121021022110011220
42101201202023310202003
52302321134232143021
633134031054210123
72051333346042654
oct221414213644203
938360537273156
1010000331131011
113206131240711
12115616a7b3943
13577047936030
142680390c752b
151251e9050cc6
hex918622f4883

10000331131011 has 16 divisors (see below), whose sum is σ = 14359539371520. Its totient is φ = 6154011551520.

The previous prime is 10000331130983. The next prime is 10000331131033. The reversal of 10000331131011 is 11013113300001.

It is not a de Polignac number, because 10000331131011 - 29 = 10000331130499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000331131061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342550 + ... + 7760708.

It is an arithmetic number, because the mean of its divisors is an integer number (897471210720).

Almost surely, 210000331131011 is an apocalyptic number.

10000331131011 is a deficient number, since it is larger than the sum of its proper divisors (4359208240509).

10000331131011 is a wasteful number, since it uses less digits than its factorization.

10000331131011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598986.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10000331131011 its reverse (11013113300001), we get a palindrome (21013444431012).

The spelling of 10000331131011 in words is "ten trillion, three hundred thirty-one million, one hundred thirty-one thousand, eleven".

Divisors: 1 3 13 39 180811 542433 1418159 2350543 4254477 7051629 18436067 55308201 256418746949 769256240847 3333443710337 10000331131011