Search a number
-
+
1213211000331 = 33114084885523
BaseRepresentation
bin10001101001111001000…
…000101011111000001011
311021222111202112110111000
4101221321000223320023
5124334124004002311
62325201430110043
7153436333232001
oct21517100537013
94258452473430
101213211000331
11428579a88190
12177165aab323
138a5365c5975
1442a10cdaa71
152185991b056
hex11a7902be0b

1213211000331 has 16 divisors (see below), whose sum is σ = 1960745051520. Its totient is φ = 735279393960.

The previous prime is 1213211000191. The next prime is 1213211000333. The reversal of 1213211000331 is 1330001123121.

1213211000331 is a `hidden beast` number, since 1 + 2 + 1 + 321 + 10 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 1213211000331 - 211 = 1213210998283 is a prime.

It is a super-2 number, since 2×12132110003312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1213211000333) 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, 2042442465 + ... + 2042443058.

It is an arithmetic number, because the mean of its divisors is an integer number (122546565720).

Almost surely, 21213211000331 is an apocalyptic number.

1213211000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1213211000331 is a deficient number, since it is larger than the sum of its proper divisors (747534051189).

1213211000331 is a wasteful number, since it uses less digits than its factorization.

1213211000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084885543 (or 4084885537 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1213211000331 its reverse (1330001123121), we get a palindrome (2543212123452).

The spelling of 1213211000331 in words is "one trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 11 27 33 99 297 4084885523 12254656569 36763969707 44933740753 110291909121 134801222259 404403666777 1213211000331