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11332213112331 = 333711343556669
BaseRepresentation
bin1010010011100111110010…
…0010010111111000001011
31111010100102102020100211000
42210321330202113320023
52441131333024043311
640033540303310043
72246503543065246
oct244717442277013
944110372210730
1011332213112331
113679a679652a1
1213303132ab323
13642813c8a777
142b26a6a1425d
15149b9bdee056
hexa4e7c897e0b

11332213112331 has 16 divisors (see below), whose sum is σ = 17242206138400. Its totient is φ = 7350624720864.

The previous prime is 11332213112329. The next prime is 11332213112371. The reversal of 11332213112331 is 13321131223311.

11332213112331 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 213 + 112 + 331 = 666.

It is not a de Polignac number, because 11332213112331 - 21 = 11332213112329 is a prime.

It is a super-2 number, since 2×113322131123312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11332213112295 and 11332213112304.

It is not an unprimeable number, because it can be changed into a prime (11332213112371) 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, 5671777336 + ... + 5671779333.

It is an arithmetic number, because the mean of its divisors is an integer number (1077637883650).

Almost surely, 211332213112331 is an apocalyptic number.

11332213112331 is a deficient number, since it is larger than the sum of its proper divisors (5909993026069).

11332213112331 is a wasteful number, since it uses less digits than its factorization.

11332213112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343556715 (or 11343556709 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11332213112331 its reverse (13321131223311), we get a palindrome (24653344335642).

The spelling of 11332213112331 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirteen million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 999 11343556669 34030670007 102092010021 306276030063 419711596753 1259134790259 3777404370777 11332213112331