Search a number
-
+
11121002101020 = 2235753849491719
BaseRepresentation
bin1010000111010100111101…
…1000010011100100011100
31110101011020202110021222110
42201311033120103210130
52424201303014213040
635352530130314020
72225315541110130
oct241651730234434
943334222407873
1011121002101020
1135a8432842399
1212b73a9128910
136289241029b6
142a638ba153c0
15144439608980
hexa1d4f61391c

11121002101020 has 96 divisors (see below), whose sum is σ = 35587939968000. Its totient is φ = 2541890962944.

The previous prime is 11121002100997. The next prime is 11121002101031. The reversal of 11121002101020 is 2010120012111.

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 = 11121002100987 and 11121002101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22370721 + ... + 22862439.

It is an arithmetic number, because the mean of its divisors is an integer number (370707708000).

Almost surely, 211121002101020 is an apocalyptic number.

11121002101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121002101020 is an abundant number, since it is smaller than the sum of its proper divisors (24466937866980).

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

11121002101020 is a wasteful number, since it uses less digits than its factorization.

11121002101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545587 (or 545585 counting only the distinct ones).

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

Adding to 11121002101020 its reverse (2010120012111), we get a palindrome (13131122113131).

The spelling of 11121002101020 in words is "eleven trillion, one hundred twenty-one billion, two million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 53849 107698 161547 215396 269245 323094 376943 491719 538490 646188 753886 807735 983438 1076980 1130829 1475157 1507772 1615470 1884715 1966876 2261658 2458595 2950314 3230940 3442033 3769430 4523316 4917190 5654145 5900628 6884066 7375785 7538860 9834380 10326099 11308290 13768132 14751570 17210165 20652198 22616580 29503140 34420330 41304396 51630495 68840660 103260990 206521980 26478576431 52957152862 79435729293 105914305724 132392882155 158871458586 185350035017 264785764310 317742917172 370700070034 397178646465 529571528620 556050105051 741400140068 794357292930 926750175085 1112100210102 1588714585860 1853500350170 2224200420204 2780250525255 3707000700340 5560501050510 11121002101020