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11001211112 = 2331735312289
BaseRepresentation
bin10100011111011100…
…10010100011101000
31001101200201102120102
422033232102203220
5140012302223422
65015350044532
7536422515533
oct121756224350
931350642512
1011001211112
114735995811
122170349748
13106425c998
14765107a1a
15445c2d192
hex28fb928e8

11001211112 has 32 divisors (see below), whose sum is σ = 20752648200. Its totient is φ = 5467275264.

The previous prime is 11001211097. The next prime is 11001211157. The reversal of 11001211112 is 21111210011.

11001211112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8016337156 + 2984873956 = 89534^2 + 54634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11001211093 and 11001211102.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 889064 + ... + 901352.

Almost surely, 211001211112 is an apocalyptic number.

It is an amenable number.

11001211112 is a deficient number, since it is larger than the sum of its proper divisors (9751437088).

11001211112 is a wasteful number, since it uses less digits than its factorization.

11001211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12965 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11001211112 its reverse (21111210011), we get a palindrome (32112421123).

The spelling of 11001211112 in words is "eleven billion, one million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 317 353 634 706 1268 1412 2536 2824 12289 24578 49156 98312 111901 223802 447604 895208 3895613 4338017 7791226 8676034 15582452 17352068 31164904 34704136 1375151389 2750302778 5500605556 11001211112