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103135424 = 267230213
BaseRepresentation
bin1100010010110…
…11100011000000
321012001211012112
412021123203000
5202400313144
614122314452
72361431240
oct611334300
9235054175
10103135424
1153243197
122a658a28
13184a09a2
14d9a9b20
1590c399e
hex625b8c0

103135424 has 28 divisors (see below), whose sum is σ = 233897424. Its totient is φ = 44200704.

The previous prime is 103135423. The next prime is 103135451. The reversal of 103135424 is 424531301.

It is a tau number, because it is divible by the number of its divisors (28).

It is a self number, because there is not a number n which added to its sum of digits gives 103135424.

It is not an unprimeable number, because it can be changed into a prime (103135421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114659 + ... + 115554.

Almost surely, 2103135424 is an apocalyptic number.

103135424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103135424 is an abundant number, since it is smaller than the sum of its proper divisors (130762000).

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

103135424 is an equidigital number, since it uses as much as digits as its factorization.

103135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230232 (or 230222 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 103135424 is about 10155.5612351066. The cubic root of 103135424 is about 468.9601637976.

Adding to 103135424 its reverse (424531301), we get a palindrome (527666725).

The spelling of 103135424 in words is "one hundred three million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 230213 460426 920852 1611491 1841704 3222982 3683408 6445964 7366816 12891928 14733632 25783856 51567712 103135424