Search a number
-
+
1101310104 = 233236132707
BaseRepresentation
bin100000110100100…
…1010100010011000
32211202022100110010
41001221022202120
54223413410404
6301140521520
736201660426
oct10151124230
92752270403
101101310104
1151572a644
122689b02a0
1314721c0ab
14a63a0116
1566a44189
hex41a4a898

1101310104 has 64 divisors (see below), whose sum is σ = 2920170240. Its totient is φ = 345375360.

The previous prime is 1101310087. The next prime is 1101310117. The reversal of 1101310104 is 4010131011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1101310104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17319 + ... + 50025.

It is an arithmetic number, because the mean of its divisors is an integer number (45627660).

Almost surely, 21101310104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101310104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460085120).

1101310104 is an abundant number, since it is smaller than the sum of its proper divisors (1818860136).

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

1101310104 is a wasteful number, since it uses less digits than its factorization.

1101310104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32800 (or 32796 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1101310104 is about 33185.9925872348. The cubic root of 1101310104 is about 1032.6897693234.

Adding to 1101310104 its reverse (4010131011), we get a palindrome (5111441115).

The spelling of 1101310104 in words is "one billion, one hundred one million, three hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 366 488 552 732 1403 1464 2806 4209 5612 8418 11224 16836 32707 33672 65414 98121 130828 196242 261656 392484 752261 784968 1504522 1995127 2256783 3009044 3990254 4513566 5985381 6018088 7980508 9027132 11970762 15961016 18054264 23941524 45887921 47883048 91775842 137663763 183551684 275327526 367103368 550655052 1101310104