Search a number
-
+
330101032303332 = 223238939759375089
BaseRepresentation
bin100101100001110011010001…
…0110001010011101011100100
31121021210100110111202010112200
41023003212202301103223210
5321231333403232201312
63130022153140214500
7126350004210446433
oct11303464261235344
91537710414663480
10330101032303332
11961a9075023424
123103395b99a430
1311226517191174
145b72d91d9d11a
152826a432d50dc
hex12c39a2c53ae4

330101032303332 has 72 divisors (see below), whose sum is σ = 838674333751800. Its totient is φ = 109474362252288.

The previous prime is 330101032303309. The next prime is 330101032303457. The reversal of 330101032303332 is 233303230101033.

330101032303332 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 0 + 1 + 0 + 323 + 0 + 3 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44329310216676 + 285771722086656 = 6658026^2 + 16904784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330101032303296 and 330101032303305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24127957 + ... + 35247132.

Almost surely, 2330101032303332 is an apocalyptic number.

It is an amenable number.

330101032303332 is an abundant number, since it is smaller than the sum of its proper divisors (508573301448468).

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

330101032303332 is a wasteful number, since it uses less digits than its factorization.

330101032303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59375885 (or 59375880 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330101032303332 its reverse (233303230101033), we get a palindrome (563404262404365).

The spelling of 330101032303332 in words is "three hundred thirty trillion, one hundred one billion, thirty-two million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 389 397 778 794 1167 1191 1556 1588 2334 2382 3501 3573 4668 4764 7002 7146 14004 14292 154433 308866 463299 617732 926598 1389897 1853196 2779794 5559588 59375089 118750178 178125267 237500356 356250534 534375801 712501068 1068751602 2137503204 23096909621 23571910333 46193819242 47143820666 69290728863 70715730999 92387638484 94287641332 138581457726 141431461998 207872186589 212147192997 277162915452 282862923996 415744373178 424294385994 831488746356 848588771988 9169473119537 18338946239074 27508419358611 36677892478148 55016838717222 82525258075833 110033677434444 165050516151666 330101032303332