Search a number
-
+
12333330100 = 22527131355311
BaseRepresentation
bin10110111110001111…
…11010111010110100
31011211112100002021201
423133013322322310
5200224313030400
65355454022244
7614426401420
oct133707727264
934745302251
1012333330100
1152599304a3
1224824a7984
131217232280
1484ddc9b80
154c2b6506a
hex2df1faeb4

12333330100 has 72 divisors (see below), whose sum is σ = 32939502848. Its totient is φ = 3903292800.

The previous prime is 12333330083. The next prime is 12333330143. The reversal of 12333330100 is 103333321.

It is a super-2 number, since 2×123333301002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668556 + ... + 686755.

Almost surely, 212333330100 is an apocalyptic number.

12333330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333330100 is an abundant number, since it is smaller than the sum of its proper divisors (20606172748).

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

12333330100 is a wasteful number, since it uses less digits than its factorization.

12333330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355345 (or 1355338 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 12333330100 its reverse (103333321), we get a palindrome (12436663421).

It can be divided in two parts, 1233 and 3330100, that added together give a palindrome (3331333).

The spelling of 12333330100 in words is "twelve billion, three hundred thirty-three million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 1355311 2710622 5421244 6776555 9487177 13553110 17619043 18974354 27106220 33882775 35238086 37948708 47435885 67765550 70476172 88095215 94871770 123333301 135531100 176190430 189743540 237179425 246666602 352380860 440476075 474358850 493333204 616666505 880952150 948717700 1233333010 1761904300 2466666020 3083332525 6166665050 12333330100