Search a number
-
+
133404213110301 = 3372114933374741
BaseRepresentation
bin11110010101010010010110…
…101110111110011000011101
3122111100022120222120010001000
4132111102112232332120131
5114441143312024012201
61151421014403140513
740046064522543150
oct3625222656763035
9574308528503030
10133404213110301
1139563455507441
1212b66769074739
135958c6a53c5a3
1424d2b26a03c97
15106523a504d86
hex795496bbe61d

133404213110301 has 32 divisors (see below), whose sum is σ = 225880253856000. Its totient is φ = 76227372164160.

The previous prime is 133404213110291. The next prime is 133404213110303. The reversal of 133404213110301 is 103011312404331.

133404213110301 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 42 + 1 + 311 + 0 + 301 = 666.

It is not a de Polignac number, because 133404213110301 - 27 = 133404213110173 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133404213110303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12690210 + ... + 20684531.

It is an arithmetic number, because the mean of its divisors is an integer number (7058757933000).

Almost surely, 2133404213110301 is an apocalyptic number.

It is an amenable number.

133404213110301 is a deficient number, since it is larger than the sum of its proper divisors (92476040745699).

133404213110301 is a wasteful number, since it uses less digits than its factorization.

133404213110301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33395906 (or 33395900 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 133404213110301 its reverse (103011312404331), we get a palindrome (236415525514632).

The spelling of 133404213110301 in words is "one hundred thirty-three trillion, four hundred four billion, two hundred thirteen million, one hundred ten thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 21149 63447 148043 190341 444129 571023 1332387 3997161 33374741 100124223 233623187 300372669 700869561 901118007 2102608683 6307826049 705842397409 2117527192227 4940896781863 6352581576681 14822690345589 19057744730043 44468071036767 133404213110301