Search a number
-
+
33012131232 = 2535943113523
BaseRepresentation
bin11110101111101011…
…010010010110100000
310011012200011000122010
4132233223102112200
51020102101144412
623055432312520
72246033325363
oct365753222640
9104180130563
1033012131232
111300053a893
126493842740
133161436282
1418524cc0da
15cd32b733c
hex7afad25a0

33012131232 has 96 divisors (see below), whose sum is σ = 88336604160. Its totient is φ = 10791637760.

The previous prime is 33012131221. The next prime is 33012131279. The reversal of 33012131232 is 23213121033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 33012131199 and 33012131208.

It is an unprimeable number.

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, 2434423 + ... + 2447945.

It is an arithmetic number, because the mean of its divisors is an integer number (920172960).

Almost surely, 233012131232 is an apocalyptic number.

33012131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33012131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44168302080).

33012131232 is an abundant number, since it is smaller than the sum of its proper divisors (55324472928).

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

33012131232 is a wasteful number, since it uses less digits than its factorization.

33012131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14026 (or 14018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33012131232 its reverse (23213121033), we get a palindrome (56225252265).

The spelling of 33012131232 in words is "thirty-three billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 431 472 708 862 944 1293 1416 1724 1888 2586 2832 3448 5172 5664 6896 10344 13523 13792 20688 25429 27046 40569 41376 50858 54092 76287 81138 101716 108184 152574 162276 203432 216368 305148 324552 406864 432736 610296 649104 797857 813728 1220592 1298208 1595714 2393571 2441184 3191428 4787142 5828413 6382856 9574284 11656826 12765712 17485239 19148568 23313652 25531424 34970478 38297136 46627304 69940956 76594272 93254608 139881912 186509216 279763824 343876367 559527648 687752734 1031629101 1375505468 2063258202 2751010936 4126516404 5502021872 8253032808 11004043744 16506065616 33012131232