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133013301320322 = 23241571777634797
BaseRepresentation
bin11110001111100110010010…
…100100110101101010000010
3122102221221120200001122110100
4132033212102210311222002
5114413242220114222242
61150521244514543230
740005615414262233
oct3617462244655202
9572857520048410
10133013301320322
1139422695a44815
1212b02a51597b16
13592b13ca27817
1424bbc4185908a
151059eab90e54c
hex78f992935a82

133013301320322 has 24 divisors (see below), whose sum is σ = 288264814113276. Its totient is φ = 44327101273056.

The previous prime is 133013301320299. The next prime is 133013301320323. The reversal of 133013301320322 is 223023103310331.

133013301320322 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 3 + 301 + 32 + 0 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114900369667281 + 18112931653041 = 10719159^2 + 4255929^2 .

It is not an unprimeable number, because it can be changed into a prime (133013301320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888742573 + ... + 888892224.

Almost surely, 2133013301320322 is an apocalyptic number.

133013301320322 is an abundant number, since it is smaller than the sum of its proper divisors (155251512792954).

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

133013301320322 is a wasteful number, since it uses less digits than its factorization.

133013301320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777638962 (or 1777638959 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 133013301320322 its reverse (223023103310331), we get a palindrome (356036404630653).

The spelling of 133013301320322 in words is "one hundred thirty-three trillion, thirteen billion, three hundred one million, three hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 4157 8314 12471 24942 37413 74826 1777634797 3555269594 5332904391 10665808782 15998713173 31997426346 7389627851129 14779255702258 22168883553387 44337767106774 66506650660161 133013301320322