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11013132021111 = 3211732279117369
BaseRepresentation
bin1010000001000011000111…
…0100100110110101110111
31102222211211002212110200200
42200100301310212311313
52420414343244133421
635231210224211543
72214446451420213
oct240206164466567
942884732773620
1011013132021111
113566708a06820
12129a503769bb3
1361b6c2c6b44c
142a1077669943
151417244d8726
hexa0431d26d77

11013132021111 has 96 divisors (see below), whose sum is σ = 17691045166080. Its totient is φ = 6546108441600.

The previous prime is 11013132020959. The next prime is 11013132021167. The reversal of 11013132021111 is 11112023131011.

11013132021111 is a `hidden beast` number, since 1 + 1 + 0 + 131 + 320 + 211 + 1 + 1 = 666.

It is not a de Polignac number, because 11013132021111 - 215 = 11013131988343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013132021181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1494518235 + ... + 1494525603.

It is an arithmetic number, because the mean of its divisors is an integer number (184281720480).

Almost surely, 211013132021111 is an apocalyptic number.

11013132021111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11013132021111 is a deficient number, since it is larger than the sum of its proper divisors (6677913144969).

11013132021111 is a wasteful number, since it uses less digits than its factorization.

11013132021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8597 (or 8594 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11013132021111 its reverse (11112023131011), we get a palindrome (22125155152122).

The spelling of 11013132021111 in words is "eleven trillion, thirteen billion, one hundred thirty-two million, twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 33 73 99 219 227 657 681 803 911 2043 2409 2497 2733 7227 7369 7491 8199 10021 16571 22107 22473 30063 49713 66321 66503 81059 90189 149139 182281 199509 206797 243177 537937 546843 598527 620391 729531 731533 1613811 1640529 1672763 1861173 2194599 2274767 4841433 5018289 5917307 6583797 6713159 6824301 15054867 15096181 17751921 18400393 20139477 20472903 45288543 53255763 55201179 60418431 73844749 122111699 135865629 165603537 166057991 221534247 366335097 490060607 498173973 664602741 1099005291 1343228689 1470181821 1494521919 1523887093 4029686067 4410545463 4571661279 5390666677 12089058201 13714983837 16172000031 16762758023 48516000093 50288274069 111243757789 150864822207 333731273367 1001193820101 1223681335679 3671044007037 11013132021111