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230324201000 = 2353521653677
BaseRepresentation
bin1101011010000001100…
…1000110011000101000
3211000111200121201000222
43112200121012120220
512233200443413000
6253450502545212
722432435256165
oct3264031063050
9730450551028
10230324201000
1189753009243
123877b138208
131894790668a
14b20d5dd06c
155ed078ca85
hex35a0646628

230324201000 has 128 divisors (see below), whose sum is σ = 541618889760. Its totient is φ = 91676416000.

The previous prime is 230324200961. The next prime is 230324201017. The reversal of 230324201000 is 102423032.

It can be written as a sum of positive squares in 16 ways, for example, as 2762763844 + 227561437156 = 52562^2 + 477034^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230324201000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340212662 + ... + 340213338.

Almost surely, 2230324201000 is an apocalyptic number.

230324201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230324201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270809444880).

230324201000 is an abundant number, since it is smaller than the sum of its proper divisors (311294688760).

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

230324201000 is a wasteful number, since it uses less digits than its factorization.

230324201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 230324201000 its reverse (102423032), we get a palindrome (230426624032).

The spelling of 230324201000 in words is "two hundred thirty billion, three hundred twenty-four million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 521 653 677 1000 1042 1306 1354 2084 2605 2612 2708 3265 3385 4168 5210 5224 5416 6530 6770 10420 13025 13060 13540 16325 16925 20840 26050 26120 27080 32650 33850 52100 65125 65300 67700 81625 84625 104200 130250 130600 135400 163250 169250 260500 326500 338500 340213 352717 442081 521000 653000 677000 680426 705434 884162 1360852 1410868 1701065 1763585 1768324 2210405 2721704 2821736 3402130 3527170 3536648 4420810 6804260 7054340 8505325 8817925 8841620 11052025 13608520 14108680 17010650 17635850 17683240 22104050 34021300 35271700 42526625 44089625 44208100 55260125 68042600 70543400 85053250 88179250 88416200 110520250 170106500 176358500 221040500 230324201 340213000 352717000 442081000 460648402 921296804 1151621005 1842593608 2303242010 4606484020 5758105025 9212968040 11516210050 23032420100 28790525125 46064840200 57581050250 115162100500 230324201000