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112001210201101 = 13281119325699969
BaseRepresentation
bin11001011101110101010000…
…010110010011010000001101
3112200120012200220121012220011
4121131311100112103100031
5104140011434302413401
61034112351243353221
732406551253540664
oct3135652026232015
9480505626535804
10112001210201101
11327614a0324a81
121068a702822811
134a6589048c250
141d92c5d417ddb
15ce361da93451
hex65dd5059340d

112001210201101 has 16 divisors (see below), whose sum is σ = 121147396982640. Its totient is φ = 102931455836160.

The previous prime is 112001210201017. The next prime is 112001210201107. The reversal of 112001210201101 is 101102012100211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1889871575076 + 110111338626025 = 1374726^2 + 10493395^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001210201101 - 219 = 112001209676813 is a prime.

It is a super-2 number, since 2×1120012102011012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112001210201107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8491956 + ... + 17208013.

It is an arithmetic number, because the mean of its divisors is an integer number (7571712311415).

Almost surely, 2112001210201101 is an apocalyptic number.

It is an amenable number.

112001210201101 is a deficient number, since it is larger than the sum of its proper divisors (9146186781539).

112001210201101 is a wasteful number, since it uses less digits than its factorization.

112001210201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25701456.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112001210201101 its reverse (101102012100211), we get a palindrome (213103222301312).

The spelling of 112001210201101 in words is "one hundred twelve trillion, one billion, two hundred ten million, two hundred one thousand, one hundred one".

Divisors: 1 13 281 1193 3653 15509 335233 4358029 25699969 334099597 7221691289 30660063017 93881986757 398580819221 8615477707777 112001210201101