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103411332 = 22322999053
BaseRepresentation
bin1100010100111…
…10111010000100
321012120211200100
412022132322010
5202433130312
614132244100
72363660523
oct612367204
9235524610
10103411332
1153411512
122a770630
131856944b
14da3c4ba
15912a5dc
hex629ee84

103411332 has 36 divisors (see below), whose sum is σ = 270417420. Its totient is φ = 33281472.

The previous prime is 103411309. The next prime is 103411333. The reversal of 103411332 is 233114301.

It can be written as a sum of positive squares in 2 ways, for example, as 17589636 + 85821696 = 4194^2 + 9264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103411333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48483 + ... + 50570.

It is an arithmetic number, because the mean of its divisors is an integer number (7511595).

Almost surely, 2103411332 is an apocalyptic number.

103411332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103411332 is an abundant number, since it is smaller than the sum of its proper divisors (167006088).

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

103411332 is a wasteful number, since it uses less digits than its factorization.

103411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99092 (or 99087 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103411332 is about 10169.1362465059. The cubic root of 103411332 is about 469.3779790213.

Adding to 103411332 its reverse (233114301), we get a palindrome (336525633).

The spelling of 103411332 in words is "one hundred three million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 99053 198106 297159 396212 594318 891477 1188636 1782954 2872537 3565908 5745074 8617611 11490148 17235222 25852833 34470444 51705666 103411332