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133301323103331 = 3101464394753039
BaseRepresentation
bin11110010011110010100010…
…000000101111110001100011
3122110222111000101212012112010
4132103302202000233301203
5114433002102203301311
61151301441001204003
740035463024114305
oct3623624200576143
9573874011765463
10133301323103331
1139523856808329
1212b4a833490603
13594c35107a766
1424cbb65c0d975
151062717701da6
hex793ca202fc63

133301323103331 has 16 divisors (see below), whose sum is σ = 179533512046080. Its totient is φ = 87968720479200.

The previous prime is 133301323103321. The next prime is 133301323103359.

133301323103331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133301323103331 - 27 = 133301323103203 is a prime.

It is a super-2 number, since 2×1333013231033312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133301323103321) 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 15 ways as a sum of consecutive naturals, for example, 45969691 + ... + 48783348.

It is an arithmetic number, because the mean of its divisors is an integer number (11220844502880).

Almost surely, 2133301323103331 is an apocalyptic number.

133301323103331 is a deficient number, since it is larger than the sum of its proper divisors (46232188942749).

133301323103331 is a wasteful number, since it uses less digits than its factorization.

133301323103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94757786.

The product of its (nonzero) digits is 13122, while the sum is 30.

The spelling of 133301323103331 in words is "one hundred thirty-three trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 101 303 4643 13929 468943 1406829 94753039 284259117 9570056939 28710170817 439938360077 1319815080231 44433774367777 133301323103331