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103248135 = 3353124671
BaseRepresentation
bin1100010011101…
…11000100000111
321012021112211000
412021313010013
5202412420020
614124544343
72362410654
oct611670407
9235245730
10103248135
115330a941
122a6b20b3
1318510093
14d9d8c2b
1590e7090
hex6277107

103248135 has 32 divisors (see below), whose sum is σ = 189480960. Its totient is φ = 53287200.

The previous prime is 103248121. The next prime is 103248151. The reversal of 103248135 is 531842301.

It is a happy number.

It is not a de Polignac number, because 103248135 - 212 = 103244039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103248099 and 103248108.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8151 + ... + 16520.

It is an arithmetic number, because the mean of its divisors is an integer number (5921280).

Almost surely, 2103248135 is an apocalyptic number.

103248135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103248135 is a deficient number, since it is larger than the sum of its proper divisors (86232825).

103248135 is a wasteful number, since it uses less digits than its factorization.

103248135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24716 (or 24710 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103248135 is about 10161.1089453858. The cubic root of 103248135 is about 469.1309351448.

The spelling of 103248135 in words is "one hundred three million, two hundred forty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 24671 74013 123355 222039 370065 666117 764801 1110195 2294403 3330585 3824005 6883209 11472015 20649627 34416045 103248135