Search a number
-
+
1320221301012 = 223236672813917
BaseRepresentation
bin10011001101100011010…
…100100101100100010100
311200012201111021222101200
4103031203110211210110
5133112303123113022
62450300140152500
7164245212620625
oct23154324454424
94605644258350
101320221301012
114699a2562a09
12193a4b538730
139765b5a6a03
1447c82dd9a4c
152451e306bac
hex13363525914

1320221301012 has 18 divisors (see below), whose sum is σ = 3337226066538. Its totient is φ = 440073766992.

The previous prime is 1320221301011. The next prime is 1320221301041. The reversal of 1320221301012 is 2101031220231.

1320221301012 is a `hidden beast` number, since 132 + 0 + 221 + 301 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1172447177616 + 147774123396 = 1082796^2 + 384414^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320221301011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18336406923 + ... + 18336406994.

It is an arithmetic number, because the mean of its divisors is an integer number (185401448141).

Almost surely, 21320221301012 is an apocalyptic number.

1320221301012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320221301012 is an abundant number, since it is smaller than the sum of its proper divisors (2017004765526).

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

1320221301012 is a wasteful number, since it uses less digits than its factorization.

1320221301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36672813927 (or 36672813922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320221301012 its reverse (2101031220231), we get a palindrome (3421252521243).

The spelling of 1320221301012 in words is "one trillion, three hundred twenty billion, two hundred twenty-one million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 36672813917 73345627834 110018441751 146691255668 220036883502 330055325253 440073767004 660110650506 1320221301012