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11211011119938 = 237318610607619
BaseRepresentation
bin1010001100100100010001…
…0101011101101101000010
31110200202120122022012201210
42203021010111131231002
52432140122321314223
635502133432110550
72234653210125660
oct243110425355502
943622518265653
1011211011119938
113632621563533
121310928b35456
13634269a620c6
142aa889bbdc30
15146956667893
hexa324455db42

11211011119938 has 32 divisors (see below), whose sum is σ = 26451786608640. Its totient is φ = 3099818742480.

The previous prime is 11211011119937. The next prime is 11211011119939. The reversal of 11211011119938 is 83991111011211.

It is an interprime number because it is at equal distance from previous prime (11211011119937) and next prime (11211011119939).

It is a super-2 number, since 2×112110111199382 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211011119896 and 11211011119905.

It is not an unprimeable number, because it can be changed into a prime (11211011119937) 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, 4305302508 + ... + 4305305111.

It is an arithmetic number, because the mean of its divisors is an integer number (826618331520).

Almost surely, 211211011119938 is an apocalyptic number.

11211011119938 is an abundant number, since it is smaller than the sum of its proper divisors (15240775488702).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211011119938 is a wasteful number, since it uses less digits than its factorization.

11211011119938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8610607662.

The product of its (nonzero) digits is 3888, while the sum is 39.

The spelling of 11211011119938 in words is "eleven trillion, two hundred eleven billion, eleven million, one hundred nineteen thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 8610607619 17221215238 25831822857 51663645714 60274253333 120548506666 180822759999 266928836189 361645519998 533857672378 800786508567 1601573017134 1868501853323 3737003706646 5605505559969 11211011119938