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11011001010012 = 22321952579306167
BaseRepresentation
bin1010000000111011001011…
…0011011100011101011100
31102222122022120222220000200
42200032302303130131130
52420401012224310022
635230214541223500
72214342604213653
oct240166263343534
942878276886020
1011011001010012
113565815017623
12129a009b61b90
1361b443613333
142a0d1462a19a
1514164c397bac
hexa03b2cdc75c

11011001010012 has 72 divisors (see below), whose sum is σ = 29298930460800. Its totient is φ = 3477080724768.

The previous prime is 11011001010011. The next prime is 11011001010013. The reversal of 11011001010012 is 21001010011011.

11011001010012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11011001010011) and next prime (11011001010013).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011001009976 and 11011001010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001010011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35810953 + ... + 36117119.

Almost surely, 211011001010012 is an apocalyptic number.

11011001010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11011001010012 is an abundant number, since it is smaller than the sum of its proper divisors (18287929450788).

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

11011001010012 is a wasteful number, since it uses less digits than its factorization.

11011001010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358775 (or 358770 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011001010012 its reverse (21001010011011), we get a palindrome (32012011021023).

Subtracting 11011001010012 from its reverse (21001010011011), we obtain a palindrome (9990009000999).

It can be divided in two parts, 1101100 and 1010012, that added together give a palindrome (2111112).

The spelling of 11011001010012 in words is "eleven trillion, eleven billion, one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 52579 105158 157737 210316 306167 315474 473211 612334 630948 918501 946422 999001 1224668 1837002 1892844 1998002 2755503 2997003 3674004 3996004 5511006 5817173 5994006 8991009 11022012 11634346 11988012 17451519 17982018 23268692 34903038 35964036 52354557 69806076 104709114 209418228 16097954693 32195909386 48293864079 64391818772 96587728158 144881592237 193175456316 289763184474 305861139167 579526368948 611722278334 917583417501 1223444556668 1835166835002 2752750252503 3670333670004 5505500505006 11011001010012