Search a number
-
+
13233330300 = 22352109499811
BaseRepresentation
bin11000101001100010…
…01001100001111100
31021011020211211110110
430110301021201330
5204100213032200
610025044110020
7645635310621
oct142461114174
937136754413
1013233330300
115680962a13
122693995310
13132b828a78
148d7746348
15526b91b50
hex314c4987c

13233330300 has 144 divisors (see below), whose sum is σ = 38764880000. Its totient is φ = 3485203200.

The previous prime is 13233330289. The next prime is 13233330343. The reversal of 13233330300 is 303333231.

It is a super-3 number, since 3×132333303003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16316895 + ... + 16317705.

Almost surely, 213233330300 is an apocalyptic number.

13233330300 is a gapful number since it is divisible by the number (10) 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 13233330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382440000).

13233330300 is an abundant number, since it is smaller than the sum of its proper divisors (25531549700).

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

13233330300 is a wasteful number, since it uses less digits than its factorization.

13233330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 13233330300 its reverse (303333231), we get a palindrome (13536663531).

The spelling of 13233330300 in words is "thirteen billion, two hundred thirty-three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 300 327 436 499 545 654 811 998 1090 1308 1497 1622 1635 1996 2180 2433 2495 2725 2994 3244 3270 4055 4866 4990 5450 5988 6540 7485 8110 8175 9732 9980 10900 12165 12475 14970 16220 16350 20275 24330 24950 29940 32700 37425 40550 48660 49900 54391 60825 74850 81100 88399 108782 121650 149700 163173 176798 217564 243300 265197 271955 326346 353596 404689 441995 530394 543910 652692 809378 815865 883990 1060788 1087820 1214067 1325985 1359775 1618756 1631730 1767980 2023445 2209975 2428134 2651970 2719550 3263460 4046890 4079325 4419950 4856268 5303940 5439100 6070335 6629925 8093780 8158650 8839900 10117225 12140670 13259850 16317300 20234450 24281340 26519700 30351675 40468900 44111101 60703350 88222202 121406700 132333303 176444404 220555505 264666606 441111010 529333212 661666515 882222020 1102777525 1323333030 2205555050 2646666060 3308332575 4411110100 6616665150 13233330300