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11121121011020 = 22510115136460301
BaseRepresentation
bin1010000111010101011001…
…1101111010010101001100
31110101011120001012112211112
42201311112131322111030
52424202023434323040
635352550015111152
72225321513611406
oct241652635722514
943334501175745
1011121121011020
1135a849397a219
1212b7420b124b8
13628942937747
142a639d729b76
15144444c96365
hexa1d5677a54c

11121121011020 has 48 divisors (see below), whose sum is σ = 23741781932736. Its totient is φ = 4375236000000.

The previous prime is 11121121011019. The next prime is 11121121011037. The reversal of 11121121011020 is 2011012112111.

It is a super-2 number, since 2×111211210110202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11121121010986 and 11121121011004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17925131 + ... + 18535170.

It is an arithmetic number, because the mean of its divisors is an integer number (494620456932).

Almost surely, 211121121011020 is an apocalyptic number.

11121121011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121121011020 is an abundant number, since it is smaller than the sum of its proper divisors (12620660921716).

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

11121121011020 is a wasteful number, since it uses less digits than its factorization.

11121121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36460562 (or 36460560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121121011020 its reverse (2011012112111), we get a palindrome (13132133123131).

The spelling of 11121121011020 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 101 151 202 302 404 505 604 755 1010 1510 2020 3020 15251 30502 61004 76255 152510 305020 36460301 72920602 145841204 182301505 364603010 729206020 3682490401 5505505451 7364980802 11011010902 14729961604 18412452005 22022021804 27527527255 36824904010 55055054510 73649808020 110110109020 556056050551 1112112101102 2224224202204 2780280252755 5560560505510 11121121011020