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21202033146 = 23725910311867
BaseRepresentation
bin10011101111101111…
…010101100111111010
32000201121100212201220
4103233233111213322
5321410210030041
613423505052510
71350256210500
oct235757254772
960647325656
1021202033146
118a9aaa4348
124138627136
131ccb731658
141051bc4670
15841558d66
hex4efbd59fa

21202033146 has 96 divisors (see below), whose sum is σ = 50654522880. Its totient is φ = 5896737504.

The previous prime is 21202033141. The next prime is 21202033163. The reversal of 21202033146 is 64133020212.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21202033141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780705 + ... + 1792571.

It is an arithmetic number, because the mean of its divisors is an integer number (527651280).

Almost surely, 221202033146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202033146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327261440).

21202033146 is an abundant number, since it is smaller than the sum of its proper divisors (29452489734).

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

21202033146 is a wasteful number, since it uses less digits than its factorization.

21202033146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12048 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21202033146 its reverse (64133020212), we get a palindrome (85335053358).

The spelling of 21202033146 in words is "twenty-one billion, two hundred two million, thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 103 118 147 177 206 294 309 354 413 618 721 826 1239 1442 2163 2478 2891 4326 5047 5782 6077 8673 10094 11867 12154 15141 17346 18231 23734 30282 35601 36462 42539 71202 83069 85078 127617 166138 249207 255234 297773 498414 581483 595546 700153 893319 1162966 1222301 1400306 1744449 1786638 2100459 2444602 3488898 3666903 4200918 4901071 7333806 8556107 9802142 14703213 17112214 25668321 29406426 34307497 51336642 59892749 68614994 72115759 102922491 119785498 144231518 179678247 205844982 216347277 359356494 432694554 504810313 1009620626 1514430939 3028861878 3533672191 7067344382 10601016573 21202033146