Search a number
-
+
133323333102 = 233171911993821
BaseRepresentation
bin111110000101010110…
…0001001110111101110
3110202010112101001121000
41330022230021313232
54141021233124402
6141125313421130
712426606430101
oct1741254116756
9422115331530
10133323333102
11515a6600513
1221a0986a7a6
13c75956641b
14664a9da738
1537049c4c1c
hex1f0ab09dee

133323333102 has 128 divisors (see below), whose sum is σ = 317011968000. Its totient is φ = 41388019200.

The previous prime is 133323333097. The next prime is 133323333137. The reversal of 133323333102 is 201333323331.

133323333102 is a `hidden beast` number, since 1 + 3 + 3 + 323 + 3 + 331 + 0 + 2 = 666.

It is a super-2 number, since 2×1333233331022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34890352 + ... + 34894172.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656000).

Almost surely, 2133323333102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133323333102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984000).

133323333102 is an abundant number, since it is smaller than the sum of its proper divisors (183688634898).

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

133323333102 is a wasteful number, since it uses less digits than its factorization.

133323333102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4233 counting only the distinct ones).

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

Adding to 133323333102 its reverse (201333323331), we get a palindrome (334656656433).

The spelling of 133323333102 in words is "one hundred thirty-three billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 191 199 306 382 398 459 573 597 918 1146 1194 1719 1791 3247 3383 3438 3582 3821 5157 5373 6494 6766 7642 9741 10149 10314 10746 11463 19482 20298 22926 29223 30447 34389 38009 58446 60894 64957 68778 76018 87669 91341 103167 114027 129914 175338 182682 194871 206334 228054 342081 389742 584613 646153 684162 729811 760379 1026243 1169226 1292306 1459622 1520758 1753839 1938459 2052486 2189433 2281137 3507678 3876918 4378866 4562274 5815377 6568299 6843411 11630754 12406787 12926443 13136598 13686822 17446131 19704897 20530233 24813574 25852886 34892262 37220361 38779329 39409794 41060466 74440722 77558658 111661083 116337987 145232389 223322166 232675974 290464778 334983249 349013961 435697167 669966498 698027922 871394334 1307091501 2468950613 2614183002 3921274503 4937901226 7406851839 7842549006 14813703678 22220555517 44441111034 66661666551 133323333102