Search a number
-
+
201233300346 = 233131964123537
BaseRepresentation
bin1011101101101001110…
…0000111101101111010
3201020102021221211112000
42323122130013231322
511244111211102341
6232240104001430
720352514554561
oct2733234075572
9636367854460
10201233300346
1178384a51a91
1233000760276
1315c8c9a28b0
149a4dbdcbd8
15537b88b8b6
hex2eda707b7a

201233300346 has 128 divisors (see below), whose sum is σ = 507742905600. Its totient is φ = 58565099520.

The previous prime is 201233300293. The next prime is 201233300347. The reversal of 201233300346 is 643003332102.

It is a happy number.

201233300346 is a `hidden beast` number, since 2 + 0 + 12 + 3 + 3 + 300 + 346 = 666.

201233300346 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (201233300347) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8537890 + ... + 8561426.

It is an arithmetic number, because the mean of its divisors is an integer number (3966741450).

Almost surely, 2201233300346 is an apocalyptic number.

201233300346 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201233300346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253871452800).

201233300346 is an abundant number, since it is smaller than the sum of its proper divisors (306509605254).

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

201233300346 is a wasteful number, since it uses less digits than its factorization.

201233300346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24221 (or 24215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201233300346 its reverse (643003332102), we get a palindrome (844236632448).

The spelling of 201233300346 in words is "two hundred one billion, two hundred thirty-three million, three hundred thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 171 234 247 342 351 494 513 641 702 741 1026 1282 1482 1923 2223 3846 4446 5769 6669 8333 11538 12179 13338 16666 17307 23537 24358 24999 34614 36537 47074 49998 70611 73074 74997 109611 141222 149994 158327 211833 219222 224991 305981 316654 328833 423666 447203 449982 474981 611962 635499 657666 894406 917943 949962 1270998 1341609 1424943 1835886 2683218 2753829 2849886 4024827 4274829 5507658 5813639 8049654 8261487 8549658 11627278 12074481 15087217 16522974 17440917 24148962 30174434 34881834 45261651 52322751 90523302 104645502 135784953 156968253 196133821 271569906 286657123 313936506 392267642 407354859 573314246 588401463 814709718 859971369 1176802926 1719942738 1765204389 2579914107 3530408778 3726542599 5159828214 5295613167 7453085198 7739742321 10591226334 11179627797 15479484642 22359255594 33538883391 67077766782 100616650173 201233300346