Search a number
-
+
11331022123113 = 37111929419212467
BaseRepresentation
bin1010010011100011010110…
…0011000111000001101001
31111010020100102011211202020
42210320311203013001221
52441121413130414423
640033222200255053
72246432201616420
oct244706543070151
944106312154666
1011331022123113
113679506653490
121330040471489
136426842cc814
142b25d278c2b7
15149b2c5934e3
hexa4e358c7069

11331022123113 has 128 divisors (see below), whose sum is σ = 20560103424000. Its totient is φ = 5371276458240.

The previous prime is 11331022123103. The next prime is 11331022123117. The reversal of 11331022123113 is 31132122013311.

It is not a de Polignac number, because 11331022123113 - 24 = 11331022123097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11331022123117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53224506 + ... + 53436972.

It is an arithmetic number, because the mean of its divisors is an integer number (160625808000).

Almost surely, 211331022123113 is an apocalyptic number.

It is an amenable number.

11331022123113 is a deficient number, since it is larger than the sum of its proper divisors (9229081300887).

11331022123113 is a wasteful number, since it uses less digits than its factorization.

11331022123113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212955.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331022123113 its reverse (31132122013311), we get a palindrome (42463144136424).

The spelling of 11331022123113 in words is "eleven trillion, three hundred thirty-one billion, twenty-two million, one hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 7 11 19 21 29 33 57 77 87 133 203 209 231 319 399 419 551 609 627 957 1257 1463 1653 2233 2933 3857 4389 4609 6061 6699 7961 8799 11571 12151 13827 18183 23883 32263 36453 42427 55727 85057 87571 96789 127281 133661 167181 212467 230869 255171 262713 400983 612997 637401 692607 935627 1487269 1616083 1838991 2337137 2539559 2806881 4036873 4461807 4848249 6161543 7011411 7618677 12110619 16359959 17776913 18484629 28258111 43130801 44405603 49079877 53330739 67776973 84774333 89023673 117069317 129392403 133216809 203330919 267071019 310839221 351207951 474438811 623165711 819485219 932517663 979260403 1287762487 1423316433 1691449787 1869497133 2458455657 2581686517 2937781209 3863287461 5074349361 6854822821 7745059551 9014337409 11840148509 18071805619 18605947657 20564468463 27043012227 28398551687 35520445527 49052043823 54215416857 55817842971 85195655061 130241633599 147156131469 198789861809 343364306761 390724900797 539572482053 596369585427 1030092920283 1618717446159 3777007374371 11331022123113