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11121312002020 = 225111012112372081
BaseRepresentation
bin1010000111010110000111…
…0110011110111111100100
31110101012001100120220020021
42201311201312132333210
52424202421333031040
635353021000444524
72225326323164443
oct241654166367744
943335040526207
1011121312002020
1135a8581769620
1212b7474a79744
1362897338927c
142a63bac44d5a
1514445692124a
hexa1d61d9efe4

11121312002020 has 96 divisors (see below), whose sum is σ = 25852126188672. Its totient is φ = 3985094400000.

The previous prime is 11121312001993. The next prime is 11121312002041. The reversal of 11121312002020 is 2020021312111.

It is a super-3 number, since 3×111213120020203 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121312001985 and 11121312002003.

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, 3502380 + ... + 5874460.

It is an arithmetic number, because the mean of its divisors is an integer number (269292981132).

Almost surely, 211121312002020 is an apocalyptic number.

11121312002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121312002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926063094336).

11121312002020 is an abundant number, since it is smaller than the sum of its proper divisors (14730814186652).

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

11121312002020 is a wasteful number, since it uses less digits than its factorization.

11121312002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372413 (or 2372411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11121312002020 its reverse (2020021312111), we get a palindrome (13141333314131).

The spelling of 11121312002020 in words is "eleven trillion, one hundred twenty-one billion, three hundred twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 211 220 404 422 505 844 1010 1055 1111 2020 2110 2222 2321 4220 4444 4642 5555 9284 11110 11605 21311 22220 23210 42622 46420 85244 106555 213110 234421 426220 468842 937684 1172105 2344210 2372081 4688420 4744162 9488324 11860405 23720810 26092891 47441620 52185782 104371564 130464455 239580181 260928910 479160362 500509091 521857820 958320724 1001018182 1197900905 2002036364 2395801810 2502545455 2635381991 4791603620 5005090910 5270763982 5505600001 10010181820 10541527964 11011200002 13176909955 22022400004 26353819910 27528000005 50551418191 52707639820 55056000010 101102836382 110112000020 202205672764 252757090955 505514181910 556065600101 1011028363820 1112131200202 2224262400404 2780328000505 5560656001010 11121312002020