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166132201333 = 71311498211481
BaseRepresentation
bin1001101010111001000…
…0000011011101110101
3120212211001001020210211
42122232100003131311
510210214320420313
6204153045345421
715000624261130
oct2325620033565
9525731036724
10166132201333
116450232984a
1228245408271
1312887842117
1480800d7217
1544c4edae3d
hex26ae403775

166132201333 has 32 divisors (see below), whose sum is σ = 192963513600. Its totient is φ = 140097984000.

The previous prime is 166132201309. The next prime is 166132201409. The reversal of 166132201333 is 333102231661.

166132201333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 166132201333 - 237 = 28693247861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166132201295 and 166132201304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166132231333) 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 31 ways as a sum of consecutive naturals, for example, 112174953 + ... + 112176433.

It is an arithmetic number, because the mean of its divisors is an integer number (6030109800).

Almost surely, 2166132201333 is an apocalyptic number.

It is an amenable number.

166132201333 is a deficient number, since it is larger than the sum of its proper divisors (26831312267).

166132201333 is a wasteful number, since it uses less digits than its factorization.

166132201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589.

The product of its (nonzero) digits is 11664, while the sum is 31.

Adding to 166132201333 its reverse (333102231661), we get a palindrome (499234432994).

The spelling of 166132201333 in words is "one hundred sixty-six billion, one hundred thirty-two million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 7 131 149 821 917 1043 1481 5747 10367 19519 107551 122329 136633 194011 220669 752857 856303 1215901 1358077 1544683 8511307 16025099 28907639 112175693 159283031 181169249 202353473 1114981217 1268184743 23733171619 166132201333