Search a number
-
+
21180124532322 = 2327199013981601
BaseRepresentation
bin1001101000011011000011…
…10011001000111001100010
32202222210121021222020121200
410310031201303020321202
510234003343340013242
6113014003114302030
74314133142030010
oct464154163107142
982883537866550
1021180124532322
116826493152088
122460a24a27916
13ba837ac46982
145331a2c398b0
1526ae24c0404c
hex134361cc8e62

21180124532322 has 96 divisors (see below), whose sum is σ = 55212521070720. Its totient is φ = 5732324121600.

The previous prime is 21180124532321. The next prime is 21180124532393. The reversal of 21180124532322 is 22323542108112.

21180124532322 is a `hidden beast` number, since 2 + 1 + 1 + 80 + 1 + 24 + 532 + 3 + 22 = 666.

It is not an unprimeable number, because it can be changed into a prime (21180124532321) 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, 21086322 + ... + 22067922.

It is an arithmetic number, because the mean of its divisors is an integer number (575130427820).

Almost surely, 221180124532322 is an apocalyptic number.

21180124532322 is an abundant number, since it is smaller than the sum of its proper divisors (34032396538398).

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

21180124532322 is a wasteful number, since it uses less digits than its factorization.

21180124532322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990648 (or 990645 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21180124532322 in words is "twenty-one trillion, one hundred eighty billion, one hundred twenty-four million, five hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 9013 18026 27039 54078 63091 81117 126182 162234 171247 189273 342494 378546 513741 567819 981601 1027482 1135638 1198729 1541223 1963202 2397458 2944803 3082446 3596187 5889606 6871207 7192374 8834409 10788561 13742414 17668818 18650419 20613621 21577122 37300838 41227242 55951257 61840863 111902514 123681726 130552933 167853771 261105866 335707542 391658799 783317598 1174976397 2349952794 8847169813 17694339626 26541509439 53083018878 61930188691 79624528317 123860377382 159249056634 168096226447 185790566073 336192452894 371581132146 504288679341 557371698219 1008577358682 1114743396438 1176673585129 1512866038023 2353347170258 3025732076046 3530020755387 7060041510774 10590062266161 21180124532322