Search a number
-
+
1103104014024 = 233234336916679
BaseRepresentation
bin10000000011010110000…
…111110111011011001000
310220110022012211000111010
4100003112013313123020
5121033124111422044
62202431535203520
7142460642261055
oct20032607673310
93813265730433
101103104014024
11395907504741
121599573765a0
1380039baa36c
143b56782802c
151da6323dbb9
hex100d61f76c8

1103104014024 has 128 divisors (see below), whose sum is σ = 2888915097600. Its totient is φ = 350341770240.

The previous prime is 1103104014013. The next prime is 1103104014041. The reversal of 1103104014024 is 4204104013011.

It is a super-2 number, since 2×11031040140242 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 165156717 + ... + 165163395.

It is an arithmetic number, because the mean of its divisors is an integer number (22569649200).

Almost surely, 21103104014024 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 1103104014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444457548800).

1103104014024 is an abundant number, since it is smaller than the sum of its proper divisors (1785811083576).

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

1103104014024 is a wasteful number, since it uses less digits than its factorization.

1103104014024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7835 (or 7831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1103104014024 its reverse (4204104013011), we get a palindrome (5307208027035).

The spelling of 1103104014024 in words is "one trillion, one hundred three billion, one hundred four million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 433 552 691 866 1299 1382 1732 2073 2598 2764 3464 4146 5196 5528 6679 8292 9959 10392 13358 15893 16584 19918 20037 26716 29877 31786 39836 40074 47679 53432 59754 63572 79672 80148 95358 119508 127144 153617 160296 190716 239016 299203 307234 381432 460851 598406 614468 897609 921702 1196812 1228936 1795218 1843404 2393624 2892007 3590436 3686808 4615189 5784014 6881669 7180872 8676021 9230378 11568028 13763338 13845567 17352042 18460756 20645007 23136056 27526676 27691134 34704084 36921512 41290014 55053352 55382268 66516161 69408168 82580028 106149347 110764536 133032322 165160056 199548483 212298694 266064644 318448041 399096966 424597388 532129288 636896082 798193932 849194776 1273792164 1596387864 1998376837 2547584328 3996753674 5995130511 7993507348 11990261022 15987014696 23980522044 45962667251 47961044088 91925334502 137888001753 183850669004 275776003506 367701338008 551552007012 1103104014024