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133222330314 = 23337233286171
BaseRepresentation
bin111110000010010101…
…0110110111111001010
3110201212111022120211000
41330010222312333022
54140314404032224
6141111304515430
712424242060243
oct1740452667712
9421774276730
10133222330314
1151554594637
122199ba7bb76
13c741661368
14663b427cca
1536eabc30c9
hex1f04ab6fca

133222330314 has 64 divisors (see below), whose sum is σ = 305356970880. Its totient is φ = 43021653120.

The previous prime is 133222330301. The next prime is 133222330331. The reversal of 133222330314 is 413033222331.

133222330314 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 330 + 3 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322449 + ... + 608619.

It is an arithmetic number, because the mean of its divisors is an integer number (4771202670).

Almost surely, 2133222330314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222330314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152678485440).

133222330314 is an abundant number, since it is smaller than the sum of its proper divisors (172134640566).

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

133222330314 is a wasteful number, since it uses less digits than its factorization.

133222330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286452 (or 286446 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133222330314 its reverse (413033222331), we get a palindrome (546255552645).

The spelling of 133222330314 in words is "one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 233 333 466 666 699 999 1398 1998 2097 4194 6291 8621 12582 17242 25863 51726 77589 155178 232767 286171 465534 572342 858513 1717026 2575539 5151078 7726617 10588327 15453234 21176654 31764981 63529962 66677843 95294943 133355686 190589886 200033529 285884829 400067058 571769658 600100587 1200201174 1800301761 2467080191 3600603522 4934160382 7401240573 14802481146 22203721719 44407443438 66611165157 133222330314