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133222101329 = 4318122974747
BaseRepresentation
bin111110000010010100…
…1111111000101010001
3110201212110212221201002
41330010221333011101
54140314324220304
6141111255551345
712424240114532
oct1740451770521
9421773787632
10133222101329
1151554448599
122199b98b555
13c7415b1075
14663b3a8689
1536eab7a31e
hex1f04a7f151

133222101329 has 16 divisors (see below), whose sum is σ = 137673856320. Its totient is φ = 128838185280.

The previous prime is 133222101323. The next prime is 133222101343. The reversal of 133222101329 is 923101222331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133222101329 is a prime.

It is a super-3 number, since 3×1332221013293 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133222101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744934 + ... + 1819680.

It is an arithmetic number, because the mean of its divisors is an integer number (8604616020).

Almost surely, 2133222101329 is an apocalyptic number.

It is an amenable number.

133222101329 is a deficient number, since it is larger than the sum of its proper divisors (4451754991).

133222101329 is a wasteful number, since it uses less digits than its factorization.

133222101329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75200.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 133222101329 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred one thousand, three hundred twenty-nine".

Divisors: 1 43 181 229 7783 9847 41449 74747 1782307 3214121 13529207 17117063 581755901 736033709 3098188403 133222101329