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103014405 = 32513293601
BaseRepresentation
bin1100010001111…
…10000000000101
321011211200012100
412020332000011
5202332430110
614115542313
72360415354
oct610760005
9234750170
10103014405
115317027a
122a5ba999
131845a890
14d97799b
15909cbc0
hex623e005

103014405 has 48 divisors (see below), whose sum is σ = 193270896. Its totient is φ = 50457600.

The previous prime is 103014403. The next prime is 103014419. The reversal of 103014405 is 504410301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3932289 + 99082116 = 1983^2 + 9954^2 .

It is not a de Polignac number, because 103014405 - 21 = 103014403 is a prime.

It is a super-2 number, since 2×1030144052 = 21223935275008050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103014403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171105 + ... + 171705.

It is an arithmetic number, because the mean of its divisors is an integer number (4026477).

Almost surely, 2103014405 is an apocalyptic number.

103014405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103014405 is a deficient number, since it is larger than the sum of its proper divisors (90256491).

103014405 is a wasteful number, since it uses less digits than its factorization.

103014405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103014405 is about 10149.6012236935. The cubic root of 103014405 is about 468.7766662163.

Adding to 103014405 its reverse (504410301), we get a palindrome (607424706).

It can be divided in two parts, 10301 and 4405, that added together give a triangular number (14706 = T171).

The spelling of 103014405 in words is "one hundred three million, fourteen thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 293 585 601 879 1465 1803 2637 3005 3809 4395 5409 7813 9015 11427 13185 19045 23439 27045 34281 39065 57135 70317 117195 171405 176093 351585 528279 880465 1584837 2289209 2641395 6867627 7924185 11446045 20602881 34338135 103014405