Search a number
-
+
133031334612 = 223113783328171
BaseRepresentation
bin111101111100101001…
…0010001001011010100
3110201101011220222222010
41323321102101023110
54134422010201422
6141040323104220
712416432454411
oct1737122211324
9421334828863
10133031334612
11514667a1750
1221947b12070
13c710c0a657
14661dd0b108
1536d9046b0c
hex1ef94912d4

133031334612 has 96 divisors (see below), whose sum is σ = 351968408064. Its totient is φ = 38750313600.

The previous prime is 133031334559. The next prime is 133031334613. The reversal of 133031334612 is 216433130331.

It is a self number, because there is not a number n which added to its sum of digits gives 133031334612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031334613) 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, 241287 + ... + 569457.

It is an arithmetic number, because the mean of its divisors is an integer number (3666337584).

Almost surely, 2133031334612 is an apocalyptic number.

133031334612 is a gapful number since it is divisible by the number (12) 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 133031334612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175984204032).

133031334612 is an abundant number, since it is smaller than the sum of its proper divisors (218937073452).

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

133031334612 is a wasteful number, since it uses less digits than its factorization.

133031334612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328309 (or 328307 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 133031334612 its reverse (216433130331), we get a palindrome (349464464943).

The spelling of 133031334612 in words is "one hundred thirty-three billion, thirty-one million, three hundred thirty-four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 83 111 132 148 166 222 249 332 407 444 498 814 913 996 1221 1628 1826 2442 2739 3071 3652 4884 5478 6142 9213 10956 12284 18426 33781 36852 67562 101343 135124 202686 328171 405372 656342 984513 1312684 1969026 3609881 3938052 7219762 10829643 12142327 14439524 21659286 24284654 27238193 36426981 43318572 48569308 54476386 72853962 81714579 108952772 133565597 145707924 163429158 267131194 299620123 326858316 400696791 534262388 599240246 801393582 898860369 1007813141 1198480492 1602787164 1797720738 2015626282 3023439423 3595441476 4031252564 6046878846 11085944551 12093757692 22171889102 33257833653 44343778204 66515667306 133031334612