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11121102001020 = 22351155633028969
BaseRepresentation
bin1010000111010101010101…
…0101011001001101111100
31110101011111201102202000110
42201311111111121031330
52424202004103013040
635352544055430020
72225321163204564
oct241652525311574
943334451382013
1011121102001020
1135a8484175780
1212b7416685310
1362893ba0cb1b
142a639adbbda4
1514444328d980
hexa1d5555937c

11121102001020 has 96 divisors (see below), whose sum is σ = 33976029185280. Its totient is φ = 2695539202560.

The previous prime is 11121102001019. The next prime is 11121102001027. The reversal of 11121102001020 is 2010020112111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11121102000987 and 11121102001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121102001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2157096 + ... + 5186064.

It is an arithmetic number, because the mean of its divisors is an integer number (353916970680).

Almost surely, 211121102001020 is an apocalyptic number.

11121102001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121102001020 is an abundant number, since it is smaller than the sum of its proper divisors (22854927184260).

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

11121102001020 is a wasteful number, since it uses less digits than its factorization.

11121102001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034555 (or 3034553 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121102001020 its reverse (2010020112111), we get a palindrome (13131122113131).

The spelling of 11121102001020 in words is "eleven trillion, one hundred twenty-one billion, one hundred two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5563 11126 16689 22252 27815 33378 55630 61193 66756 83445 111260 122386 166890 183579 244772 305965 333780 367158 611930 734316 917895 1223860 1835790 3028969 3671580 6057938 9086907 12115876 15144845 18173814 30289690 33318659 36347628 45434535 60579380 66637318 90869070 99955977 133274636 166593295 181738140 199911954 333186590 399823908 499779885 666373180 999559770 1999119540 16850154547 33700309094 50550463641 67400618188 84250772735 101100927282 168501545470 185351700017 202201854564 252752318205 337003090940 370703400034 505504636410 556055100051 741406800068 926758500085 1011009272820 1112110200102 1853517000170 2224220400204 2780275500255 3707034000340 5560551000510 11121102001020