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11131303221 = 323783402739
BaseRepresentation
bin10100101110111101…
…00011010100110101
31001201202111210101200
422113132203110311
5140244103200341
65040314243113
7542562342033
oct122736432465
931652453350
1011131303221
1147a236a955
1221a7a26499
1310851ab36c
147784cd553
15452378db6
hex2977a3535

11131303221 has 24 divisors (see below), whose sum is σ = 16712099040. Its totient is φ = 7133295456.

The previous prime is 11131303213. The next prime is 11131303229. The reversal of 11131303221 is 12230313111.

11131303221 is a `hidden beast` number, since 11 + 131 + 303 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (11131303213) and next prime (11131303229).

It is not a de Polignac number, because 11131303221 - 23 = 11131303213 is a prime.

It is a super-2 number, since 2×111313032212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131303194 and 11131303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131303229) 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 23 ways as a sum of consecutive naturals, for example, 173731 + ... + 229008.

It is an arithmetic number, because the mean of its divisors is an integer number (696337460).

Almost surely, 211131303221 is an apocalyptic number.

It is an amenable number.

11131303221 is a deficient number, since it is larger than the sum of its proper divisors (5580795819).

11131303221 is a wasteful number, since it uses less digits than its factorization.

11131303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402865 (or 402862 counting only the distinct ones).

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

Adding to 11131303221 its reverse (12230313111), we get a palindrome (23361616332).

The spelling of 11131303221 in words is "eleven billion, one hundred thirty-one million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 37 83 111 249 333 747 3071 9213 27639 402739 1208217 3624651 14901343 33427337 44704029 100282011 134112087 300846033 1236811469 3710434407 11131303221