Search a number
-
+
133113212514 = 235769356171
BaseRepresentation
bin111101111111000101…
…0100110111001100010
3110201120212222211100000
41323332022212321202
54140103440300024
6141052410040430
712421445431452
oct1737612467142
9421525884300
10133113212514
11514a8a35837
122196b419116
13c724b77709
14662ab41d62
1536e131bcc9
hex1efe2a6e62

133113212514 has 48 divisors (see below), whose sum is σ = 299483664480. Its totient is φ = 44313246720.

The previous prime is 133113212489. The next prime is 133113212599. The reversal of 133113212514 is 415212311331.

133113212514 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 132 + 12 + 514 = 666.

133113212514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195649 + ... + 551819.

It is an arithmetic number, because the mean of its divisors is an integer number (6239243010).

Almost surely, 2133113212514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133113212514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149741832240).

133113212514 is an abundant number, since it is smaller than the sum of its proper divisors (166370451966).

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

133113212514 is an equidigital number, since it uses as much as digits as its factorization.

133113212514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356957 (or 356945 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 133113212514 its reverse (415212311331), we get a palindrome (548325523845).

The spelling of 133113212514 in words is "one hundred thirty-three billion, one hundred thirteen million, two hundred twelve thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 769 1538 2307 4614 6921 13842 20763 41526 62289 124578 186867 356171 373734 712342 1068513 2137026 3205539 6411078 9616617 19233234 28849851 57699702 86549553 173099106 273895499 547790998 821686497 1643372994 2465059491 4930118982 7395178473 14790356946 22185535419 44371070838 66556606257 133113212514