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11121011202112 = 26731729800343
BaseRepresentation
bin1010000111010100111111…
…1011000001100001000000
31110101011021101120200022221
42201311033323001201000
52424201312331431422
635352531053340424
72225316011344000
oct241651773014100
943334241520287
1011121011202112
1135a8437999159
1212b73b0197714
13628925c6b366
142a638cd04000
1514443a3053c7
hexa1d4fec1840

11121011202112 has 112 divisors (see below), whose sum is σ = 27249434553600. Its totient is φ = 4485785880576.

The previous prime is 11121011202089. The next prime is 11121011202127. The reversal of 11121011202112 is 21120211012111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 14526988 + ... + 15273355.

It is an arithmetic number, because the mean of its divisors is an integer number (243298522800).

Almost surely, 211121011202112 is an apocalyptic number.

It is an amenable number.

11121011202112 is an abundant number, since it is smaller than the sum of its proper divisors (16128423351488).

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

11121011202112 is an equidigital number, since it uses as much as digits as its factorization.

11121011202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29800393 (or 29800369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11121011202112 its reverse (21120211012111), we get a palindrome (32241222214223).

The spelling of 11121011202112 in words is "eleven trillion, one hundred twenty-one billion, eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2744 3136 3332 3808 5488 5831 6664 7616 10976 11662 13328 21952 23324 26656 46648 53312 93296 186592 373184 29800343 59600686 119201372 208602401 238402744 417204802 476805488 506605831 834409604 953610976 1013211662 1460216807 1668819208 1907221952 2026423324 2920433614 3337638416 3546240817 4052846648 5840867228 6675276832 7092481634 8105693296 10221517649 11681734456 13350553664 14184963268 16211386592 20443035298 23363468912 24823685719 28369926536 32422773184 40886070596 46726937824 49647371438 56739853072 81772141192 93453875648 99294742876 113479706144 163544282384 173765800033 198589485752 226959412288 327088564768 347531600066 397178971504 654177129536 695063200132 794357943008 1390126400264 1588715886016 2780252800528 5560505601056 11121011202112