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133122333302210 = 2572271678231229
BaseRepresentation
bin11110010001001011110101…
…011000110101110111000010
3122110100101000021222012121202
4132101023311120311313002
5114422034014311132320
61151043320004421202
740016525342653400
oct3621136530656702
9573311007865552
10133122333302210
113946495672555a
1212b200000a7802
1359384c7804635
1424c3226258470
15105cc3da41b75
hex7912f5635dc2

133122333302210 has 24 divisors (see below), whose sum is σ = 278741865241980. Its totient is φ = 45641942846304.

The previous prime is 133122333302201. The next prime is 133122333302221. The reversal of 133122333302210 is 12203333221331.

133122333302210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121798791990001 + 11323541312209 = 11036249^2 + 3365047^2 .

It is a super-3 number, since 3×1331223333022103 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135839115125 + ... + 135839116104.

Almost surely, 2133122333302210 is an apocalyptic number.

133122333302210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133122333302210 is an abundant number, since it is smaller than the sum of its proper divisors (145619531939770).

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

133122333302210 is a wasteful number, since it uses less digits than its factorization.

133122333302210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271678231250 (or 271678231243 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 133122333302210 its reverse (12203333221331), we get a palindrome (145325666523541).

The spelling of 133122333302210 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred two thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 271678231229 543356462458 1358391156145 1901747618603 2716782312290 3803495237206 9508738093015 13312233330221 19017476186030 26624466660442 66561166651105 133122333302210