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103140135 = 355767181
BaseRepresentation
bin1100010010111…
…00101100100111
321012002001200000
412021130230213
5202400441020
614122352343
72361451050
oct611345447
9235061600
10103140135
115324678a
122a65b6b3
13184a2b87
14d9ab727
1590c5090
hex625cb27

103140135 has 96 divisors (see below), whose sum is σ = 216233472. Its totient is φ = 46189440.

The previous prime is 103140077. The next prime is 103140181. The reversal of 103140135 is 531041301.

It is not a de Polignac number, because 103140135 - 28 = 103139879 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569745 + ... + 569925.

It is an arithmetic number, because the mean of its divisors is an integer number (2252432).

Almost surely, 2103140135 is an apocalyptic number.

103140135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103140135 is an abundant number, since it is smaller than the sum of its proper divisors (113093337).

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

103140135 is an equidigital number, since it uses as much as digits as its factorization.

103140135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103140135 is about 10155.7931743414. The cubic root of 103140135 is about 468.9673040462.

Adding to 103140135 its reverse (531041301), we get a palindrome (634181436).

The spelling of 103140135 in words is "one hundred three million, one hundred forty thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 67 81 105 135 181 189 201 243 315 335 405 469 543 567 603 905 945 1005 1215 1267 1407 1629 1701 1809 2345 2715 2835 3015 3801 4221 4887 5427 6335 7035 8145 8505 9045 11403 12127 12663 14661 16281 19005 21105 24435 27135 34209 36381 37989 43983 57015 60635 63315 73305 81405 84889 102627 109143 113967 171045 181905 189945 219915 254667 307881 327429 424445 513135 545715 569835 764001 982287 1273335 1539405 1637145 2292003 2946861 3820005 4911435 6876009 11460015 14734305 20628027 34380045 103140135