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1230012300 = 2235211419091
BaseRepresentation
bin100100101010000…
…0111111110001100
310011201111002200010
41021110013332030
510004340343200
6322015233220
742323634456
oct11124077614
93151432603
101230012300
115813454a0
122a3b18810
13167aa1c3a
14b95032d6
1572eb8150
hex49507f8c

1230012300 has 144 divisors (see below), whose sum is σ = 3977495424. Its totient is φ = 290880000.

The previous prime is 1230012299. The next prime is 1230012319. The reversal of 1230012300 is 32100321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130755 + ... + 139845.

It is an arithmetic number, because the mean of its divisors is an integer number (27621496).

Almost surely, 21230012300 is an apocalyptic number.

1230012300 is a gapful number since it is divisible by the number (10) 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 1230012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988747712).

1230012300 is an abundant number, since it is smaller than the sum of its proper divisors (2747483124).

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

1230012300 is a wasteful number, since it uses less digits than its factorization.

1230012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1230012300 is about 35071.5311898411. The cubic root of 1230012300 is about 1071.4448411498. Note that the first 3 decimals are identical.

Adding to 1230012300 its reverse (32100321), we get a palindrome (1262112621).

The spelling of 1230012300 in words is "one billion, two hundred thirty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 9091 11275 12300 13530 18182 22550 27060 27273 33825 36364 45100 45455 54546 67650 90910 100001 109092 135300 136365 181820 200002 227275 272730 300003 372731 400004 454550 500005 545460 600006 681825 745462 909100 1000010 1118193 1200012 1363650 1490924 1500015 1863655 2000020 2236386 2500025 2727300 3000030 3727310 4100041 4472772 5000050 5590965 6000060 7454620 7500075 8200082 9318275 10000100 11181930 12300123 15000150 16400164 18636550 20500205 22363860 24600246 27954825 30000300 37273100 41000410 49200492 55909650 61500615 82000820 102501025 111819300 123001230 205002050 246002460 307503075 410004100 615006150 1230012300