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1220113410101 = 41147481201781
BaseRepresentation
bin10001110000010100011…
…011010010100000110101
311022122022210122012122022
4101300110123102200311
5124442243013110401
62332302400442525
7154102355603435
oct21602433224065
94278283565568
101220113410101
114304a1236873
12178571619445
138b09661cbc1
14430a78d22c5
1521b108a971b
hex11c146d2835

1220113410101 has 8 divisors (see below), whose sum is σ = 1249886942808. Its totient is φ = 1190340576000.

The previous prime is 1220113410067. The next prime is 1220113410121. The reversal of 1220113410101 is 1010143110221.

It can be written as a sum of positive squares in 4 ways, for example, as 67927996900 + 1152185413201 = 260630^2 + 1073399^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1220113410101 - 234 = 1202933540917 is a prime.

It is a super-3 number, since 3×12201134101013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220113410101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220113410121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5945831 + ... + 6147611.

It is an arithmetic number, because the mean of its divisors is an integer number (156235867851).

Almost surely, 21220113410101 is an apocalyptic number.

It is an amenable number.

1220113410101 is a deficient number, since it is larger than the sum of its proper divisors (29773532707).

1220113410101 is a wasteful number, since it uses less digits than its factorization.

1220113410101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349303.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1220113410101 its reverse (1010143110221), we get a palindrome (2230256520322).

The spelling of 1220113410101 in words is "one trillion, two hundred twenty billion, one hundred thirteen million, four hundred ten thousand, one hundred one".

Divisors: 1 41 147481 201781 6046721 8273021 29758863661 1220113410101