Search a number
-
+
1220113213301 = 41132972238013
BaseRepresentation
bin10001110000010100011…
…010100010011101110101
311022122022210021012200102
4101300110122202131311
5124442242440311201
62332302352323445
7154102354123613
oct21602432423565
94278283235612
101220113213301
114304a1111a24
12178571543585
138b096581458
14430a78806b3
1521b1086b26b
hex11c146a2775

1220113213301 has 8 divisors (see below), whose sum is σ = 1249966627224. Its totient is φ = 1190264302080.

The previous prime is 1220113213283. The next prime is 1220113213303. The reversal of 1220113213301 is 1033123110221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 299645665201 + 920467548100 = 547399^2 + 959410^2 .

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 1220113213301 - 26 = 1220113213237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220113213303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573830 + ... + 1664183.

It is an arithmetic number, because the mean of its divisors is an integer number (156245828403).

Almost surely, 21220113213301 is an apocalyptic number.

It is an amenable number.

1220113213301 is a deficient number, since it is larger than the sum of its proper divisors (29853413923).

1220113213301 is a wasteful number, since it uses less digits than its factorization.

1220113213301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251351.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1220113213301 its reverse (1033123110221), we get a palindrome (2253236323522).

The spelling of 1220113213301 in words is "one trillion, two hundred twenty billion, one hundred thirteen million, two hundred thirteen thousand, three hundred one".

Divisors: 1 41 13297 545177 2238013 91758533 29758858861 1220113213301