Search a number
-
+
11100150105 = 35111393791277
BaseRepresentation
bin10100101011001111…
…01101100101011001
31001122120220001100120
422111213231211121
5140213114300410
65033242423453
7542033501442
oct122547554531
931576801316
1011100150105
114786822080
122199501b89
13107b8c1575
147743002c9
1544e773570
hex2959ed959

11100150105 has 64 divisors (see below), whose sum is σ = 19581004800. Its totient is φ = 5324901120.

The previous prime is 11100150077. The next prime is 11100150107. The reversal of 11100150105 is 50105100111.

It is not a de Polignac number, because 11100150105 - 25 = 11100150073 is a prime.

It is a super-2 number, since 2×111001501052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11100150107) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8691727 + ... + 8693003.

It is an arithmetic number, because the mean of its divisors is an integer number (305953200).

Almost surely, 211100150105 is an apocalyptic number.

11100150105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11100150105 is a deficient number, since it is larger than the sum of its proper divisors (8480854695).

11100150105 is a wasteful number, since it uses less digits than its factorization.

11100150105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 11100150105 its reverse (50105100111), we get a palindrome (61205250216).

The spelling of 11100150105 in words is "eleven billion, one hundred million, one hundred fifty thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 139 165 379 417 695 1137 1277 1529 1895 2085 3831 4169 4587 5685 6385 7645 12507 14047 19155 20845 22935 42141 52681 62535 70235 158043 177503 210705 263405 483983 532509 579491 790215 887515 1451949 1738473 1952533 2419915 2662545 2897455 5323813 5857599 7259745 8692365 9762665 15971439 26619065 29287995 67273637 79857195 201820911 336368185 740010007 1009104555 2220030021 3700050035 11100150105