Search a number
-
+
22132033013130 = 23517613791877077
BaseRepresentation
bin1010000100001000000111…
…11101110100010110001010
32220100210122102201100222020
411002010003331310112022
510400102400422410010
6115023152100505310
74442662260434205
oct502040375642612
986323572640866
1022132033013130
117063162722897
1225954050ab236
13c47070985581
145672a61c693c
15285a8940b470
hex142103f7458a

22132033013130 has 128 divisors (see below), whose sum is σ = 57314249153280. Its totient is φ = 5449226711040.

The previous prime is 22132033013089. The next prime is 22132033013173. The reversal of 22132033013130 is 3131033023122.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22132033013130.

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, 10852152 + ... + 12729228.

It is an arithmetic number, because the mean of its divisors is an integer number (447767571510).

Almost surely, 222132033013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132033013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28657124576640).

22132033013130 is an abundant number, since it is smaller than the sum of its proper divisors (35182216140150).

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

22132033013130 is a wasteful number, since it uses less digits than its factorization.

22132033013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877544.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 22132033013130 its reverse (3131033023122), we get a palindrome (25263066036252).

The spelling of 22132033013130 in words is "twenty-two trillion, one hundred thirty-two billion, thirty-three million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 379 510 610 758 915 1037 1137 1830 1895 2074 2274 3111 3790 5185 5685 6222 6443 10370 11370 12886 15555 19329 23119 31110 32215 38658 46238 64430 69357 96645 115595 138714 193290 231190 346785 393023 693570 786046 1179069 1877077 1965115 2358138 3754154 3930230 5631231 5895345 9385385 11262462 11790690 18770770 28156155 31910309 56312310 63820618 95730927 114501697 159551545 191461854 229003394 319103090 343505091 478654635 572508485 687010182 711412183 957309270 1145016970 1422824366 1717525455 1946528849 2134236549 3435050910 3557060915 3893057698 4268473098 5839586547 7114121830 9732644245 10671182745 11679173094 12094007111 19465288490 21342365490 24188014222 29197932735 36282021333 43396143163 58395865470 60470035555 72564042666 86792286326 120940071110 130188429489 181410106665 216980715815 260376858978 362820213330 433961431630 650942147445 737734433771 1301884294890 1475468867542 2213203301313 3688672168855 4426406602626 7377344337710 11066016506565 22132033013130