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103056330 = 235132311489
BaseRepresentation
bin1100010010010…
…00001111001010
321011220210201010
412021020033022
5202340300310
614120504350
72360651526
oct611101712
9234823633
10103056330
1153199823
122a61b0b6
13184739a0
14d988d86
1590aa320
hex62483ca

103056330 has 64 divisors (see below), whose sum is σ = 277966080. Its totient is φ = 24262656.

The previous prime is 103056313. The next prime is 103056347. The reversal of 103056330 is 33650301.

It is an interprime number because it is at equal distance from previous prime (103056313) and next prime (103056347).

It is a junction number, because it is equal to n+sod(n) for n = 103056297 and 103056306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3226 + ... + 14714.

It is an arithmetic number, because the mean of its divisors is an integer number (4343220).

Almost surely, 2103056330 is an apocalyptic number.

103056330 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 103056330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138983040).

103056330 is an abundant number, since it is smaller than the sum of its proper divisors (174909750).

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

103056330 is a wasteful number, since it uses less digits than its factorization.

103056330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 103056330 is about 10151.6663656761. Note that the first 3 decimals coincide. The cubic root of 103056330 is about 468.8402521330.

The spelling of 103056330 in words is "one hundred three million, fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 11489 22978 34467 57445 68934 114890 149357 172335 264247 298714 344670 448071 528494 746785 792741 896142 1321235 1493570 1585482 2240355 2642470 3435211 3963705 4480710 6870422 7927410 10305633 17176055 20611266 34352110 51528165 103056330