Search a number
-
+
103364101335 = 351117137326839
BaseRepresentation
bin110000001000011111…
…0110000010011010111
3100212210121210101201110
41200100332300103113
53143142202220320
6115252415230103
710316313236055
oct1402076602327
9325717711643
10103364101335
113a922382240
1218048518333
139993776751
145007b651d5
152a4e7505e0
hex1810fb04d7

103364101335 has 64 divisors (see below), whose sum is σ = 191176381440. Its totient is φ = 47131822080.

The previous prime is 103364101307. The next prime is 103364101343. The reversal of 103364101335 is 533101463301.

It is not a de Polignac number, because 103364101335 - 230 = 102290359511 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3837846 + ... + 3864684.

It is an arithmetic number, because the mean of its divisors is an integer number (2987130960).

Almost surely, 2103364101335 is an apocalyptic number.

103364101335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103364101335 is a deficient number, since it is larger than the sum of its proper divisors (87812280105).

103364101335 is a wasteful number, since it uses less digits than its factorization.

103364101335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28248.

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 103364101335 its reverse (533101463301), we get a palindrome (636465564636).

The spelling of 103364101335 in words is "one hundred three billion, three hundred sixty-four million, one hundred one thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 1373 2805 4119 6865 15103 20595 23341 26839 45309 70023 75515 80517 116705 134195 226545 256751 295229 350115 402585 456263 770253 885687 1283755 1368789 1476145 2281315 3851265 4428435 5018893 6843945 15056679 25094465 36849947 75283395 110549841 184249735 405349417 552749205 626449099 1216048251 1879347297 2026747085 3132245495 6080241255 6890940089 9396736485 20672820267 34454700445 103364101335