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1121121110221 = 7472647112061
BaseRepresentation
bin10000010100001000000…
…001101000100011001101
310222011210212011100002021
4100110020001220203031
5121332024001011341
62215011432130141
7143666266126240
oct20241001504315
93864725140067
101121121110221
113a2512703792
12161345236951
138194b815428
143c396625257
151e269d729d1
hex105080688cd

1121121110221 has 24 divisors (see below), whose sum is σ = 1311157673856. Its totient is φ = 939052938720.

The previous prime is 1121121110203. The next prime is 1121121110269. The reversal of 1121121110221 is 1220111211211.

It is not a de Polignac number, because 1121121110221 - 223 = 1121112721613 is a prime.

It is a super-3 number, since 3×11211211102213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121121110195 and 1121121110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121121110621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9948531 + ... + 10060591.

It is an arithmetic number, because the mean of its divisors is an integer number (54631569744).

Almost surely, 21121121110221 is an apocalyptic number.

It is an amenable number.

1121121110221 is a deficient number, since it is larger than the sum of its proper divisors (190036563635).

1121121110221 is an equidigital number, since it uses as much as digits as its factorization.

1121121110221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112809 (or 112762 counting only the distinct ones).

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

Adding to 1121121110221 its reverse (1220111211211), we get a palindrome (2341232321432).

The spelling of 1121121110221 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-one".

Divisors: 1 7 47 329 647 2209 4529 15463 30409 112061 212863 784427 1429223 5266867 10004561 36868069 72503467 247542749 507524269 1732799243 3407662949 23853640643 160160158603 1121121110221