Search a number
-
+
23133333102 = 231173101137347
BaseRepresentation
bin10101100010110110…
…101010011001101110
32012201012110002012220
4111202312222121232
5334334113124402
614343255340210
71446160041555
oct254266523156
965635402186
1023133333102
1198a1188610
124597381666
1322488a3aa9
1411964b8d9c
15905d9adbc
hex562daa66e

23133333102 has 128 divisors (see below), whose sum is σ = 52197861888. Its totient is φ = 6776064000.

The previous prime is 23133333077. The next prime is 23133333121. The reversal of 23133333102 is 20133333132.

It is a super-2 number, since 2×231333331022 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 66666493 + ... + 66666839.

It is an arithmetic number, because the mean of its divisors is an integer number (407795796).

Almost surely, 223133333102 is an apocalyptic number.

23133333102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133333102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098930944).

23133333102 is an abundant number, since it is smaller than the sum of its proper divisors (29064528786).

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

23133333102 is a wasteful number, since it uses less digits than its factorization.

23133333102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 23133333102 its reverse (20133333132), we get a palindrome (43266666234).

It can be divided in two parts, 231 and 33333102, that added together give a palindrome (33333333).

The spelling of 23133333102 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 101 137 146 202 219 274 303 347 411 438 606 694 803 822 1041 1111 1507 1606 2082 2222 2409 3014 3333 3817 4521 4818 6666 7373 7634 9042 10001 11451 13837 14746 20002 22119 22902 25331 27674 30003 35047 41511 44238 47539 50662 60006 70094 75993 81103 83022 95078 105141 110011 142617 151986 152207 162206 210282 220022 243309 278641 285234 304414 330033 385517 456621 486618 522929 557282 660066 771034 835923 913242 1010101 1045858 1156551 1568787 1671846 2020202 2313102 2558431 3030303 3137574 3470347 4801439 5116862 6060606 6940694 7675293 9602878 10411041 11111111 14404317 15350586 20822082 22222222 28142741 28808634 33333333 38173817 52815829 56285482 66666666 76347634 84428223 105631658 114521451 158447487 168856446 229042902 316894974 350505047 701010094 1051515141 2103030282 3855555517 7711111034 11566666551 23133333102