Search a number
-
+
1233525020304 = 243177879191861
BaseRepresentation
bin10001111100110011110…
…100100001011010010000
311100220221110221121011010
4101330303310201122100
5130202224401122204
62342401254050520
7155055620450013
oct21746364413220
94326843847133
101233525020304
11436153797045
1217b095049a40
138c423069925
14439baba537a
1522148014d89
hex11f33d21690

1233525020304 has 80 divisors (see below), whose sum is σ = 3374499553920. Its totient is φ = 386937108480.

The previous prime is 1233525020303. The next prime is 1233525020347. The reversal of 1233525020304 is 4030205253321.

It is a super-2 number, since 2×12335250203042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1233525020303) 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 15 ways as a sum of consecutive naturals, for example, 6333334 + ... + 6525194.

It is an arithmetic number, because the mean of its divisors is an integer number (42181244424).

Almost surely, 21233525020304 is an apocalyptic number.

It is an amenable number.

1233525020304 is an abundant number, since it is smaller than the sum of its proper divisors (2140974533616).

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

1233525020304 is a wasteful number, since it uses less digits than its factorization.

1233525020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199768 (or 199762 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 1233525020304 in words is "one trillion, two hundred thirty-three billion, five hundred twenty-five million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 7879 15758 23637 31516 47274 63032 94548 126064 133943 189096 191861 267886 378192 383722 401829 535772 575583 767444 803658 1071544 1151166 1534888 1607316 2143088 2302332 3069776 3214632 3261637 4604664 6429264 6523274 9209328 9784911 13046548 19569822 26093096 39139644 52186192 78279288 156558576 1511672819 3023345638 4535018457 6046691276 9070036914 12093382552 18140073828 24186765104 25698437923 36280147656 51396875846 72560295312 77095313769 102793751692 154190627538 205587503384 308381255076 411175006768 616762510152 1233525020304