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133103220312 = 23319683427369
BaseRepresentation
bin111101111110110010…
…0011111011001011000
3110201120012012011121110
41323331210133121120
54140043411022222
6141051411540320
712421264463616
oct1737544373130
9421505164543
10133103220312
11514a3330517
1221967bba6a0
13c722a8957a
1466296a06b6
1536e04e630c
hex1efd91f658

133103220312 has 64 divisors (see below), whose sum is σ = 350785296000. Its totient is φ = 41970956544.

The previous prime is 133103220193. The next prime is 133103220319. The reversal of 133103220312 is 213022301331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103220319) 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, 97764 + ... + 525132.

It is an arithmetic number, because the mean of its divisors is an integer number (5481020250).

Almost surely, 2133103220312 is an apocalyptic number.

133103220312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133103220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175392648000).

133103220312 is an abundant number, since it is smaller than the sum of its proper divisors (217682075688).

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

133103220312 is a wasteful number, since it uses less digits than its factorization.

133103220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428080 (or 428076 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133103220312 its reverse (213022301331), we get a palindrome (346125521643).

The spelling of 133103220312 in words is "one hundred thirty-three billion, one hundred three million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 683 1366 2049 2732 4098 5464 8196 12977 16392 25954 38931 51908 77862 103816 155724 311448 427369 854738 1282107 1709476 2564214 3418952 5128428 8120011 10256856 16240022 24360033 32480044 48720066 64960088 97440132 194880264 291893027 583786054 875679081 1167572108 1751358162 2335144216 3502716324 5545967513 7005432648 11091935026 16637902539 22183870052 33275805078 44367740104 66551610156 133103220312