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1103240214 = 232293179863
BaseRepresentation
bin100000111000010…
…0001110000010110
32211212221102001200
41001300201300112
54224412141324
6301250133330
736224246526
oct10160416026
92755842050
101103240214
1151682877a
12269581246
1314774677b
14a6743686
1566cc5ec9
hex41c21c16

1103240214 has 96 divisors (see below), whose sum is σ = 2587852800. Its totient is φ = 338869440.

The previous prime is 1103240213. The next prime is 1103240219. The reversal of 1103240214 is 4120423011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103240213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277947 + ... + 1278809.

It is an arithmetic number, because the mean of its divisors is an integer number (26956800).

Almost surely, 21103240214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103240214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293926400).

1103240214 is an abundant number, since it is smaller than the sum of its proper divisors (1484612586).

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

1103240214 is a wasteful number, since it uses less digits than its factorization.

1103240214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1103240214 is about 33215.0600481167. The cubic root of 1103240214 is about 1033.2927001943.

Adding to 1103240214 its reverse (4120423011), we get a palindrome (5223663225).

The spelling of 1103240214 in words is "one billion, one hundred three million, two hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 29 31 58 62 79 87 93 158 174 186 237 261 279 474 522 558 711 863 899 1422 1726 1798 2291 2449 2589 2697 4582 4898 5178 5394 6873 7347 7767 8091 13746 14694 15534 16182 20619 22041 25027 26753 41238 44082 50054 53506 68177 71021 75081 80259 136354 142042 150162 160518 204531 213063 225243 240777 409062 426126 450486 481554 613593 639189 775837 1227186 1278378 1551674 1977133 2113487 2327511 3954266 4226974 4655022 5931399 6340461 6982533 11862798 12680922 13965066 17794197 19021383 35588394 38042766 61291123 122582246 183873369 367746738 551620107 1103240214