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103215330 = 233517113199
BaseRepresentation
bin1100010011011…
…11000011100010
321012012212211000
412021233003202
5202410342310
614124132430
72362213221
oct611570342
9235185730
10103215330
1153298229
122a697116
13184cb17a
14d9cacb8
1590dc4c0
hex626f0e2

103215330 has 128 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 25546752.

The previous prime is 103215323. The next prime is 103215419. The reversal of 103215330 is 33512301.

103215330 is a `hidden beast` number, since 10 + 321 + 5 + 330 = 666.

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

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 518571 + ... + 518769.

It is an arithmetic number, because the mean of its divisors is an integer number (2308500).

Almost surely, 2103215330 is an apocalyptic number.

103215330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103215330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

103215330 is an abundant number, since it is smaller than the sum of its proper divisors (192272670).

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

103215330 is a wasteful number, since it uses less digits than its factorization.

103215330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103215330 is about 10159.4945740425. The cubic root of 103215330 is about 469.0812442696.

Adding to 103215330 its reverse (33512301), we get a palindrome (136727631).

It can be divided in two parts, 10321 and 5330, that added together give a palindrome (15651).

The spelling of 103215330 in words is "one hundred three million, two hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 113 135 153 170 199 226 255 270 306 339 398 459 510 565 597 678 765 918 995 1017 1130 1194 1530 1695 1791 1921 1990 2034 2295 2985 3051 3383 3390 3582 3842 4590 5085 5373 5763 5970 6102 6766 8955 9605 10149 10170 10746 11526 15255 16915 17289 17910 19210 20298 22487 26865 28815 30447 30510 33830 34578 44974 50745 51867 53730 57630 60894 67461 86445 91341 101490 103734 112435 134922 152235 172890 182682 202383 224870 259335 304470 337305 382279 404766 456705 518670 607149 674610 764558 913410 1011915 1146837 1214298 1911395 2023830 2293674 3035745 3440511 3822790 5734185 6071490 6881022 10321533 11468370 17202555 20643066 34405110 51607665 103215330