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1230323312200 = 235229534002353
BaseRepresentation
bin10001111001110100111…
…110111110011001001000
311100121200100100222022111
4101321310332332121020
5130124200231442300
62341111442232104
7154613362414033
oct21716476763110
94317610328274
101230323312200
11434860487394
1217a540955634
138c0329507a8
144379589401a
152200bdca9ba
hex11e74fbe648

1230323312200 has 96 divisors (see below), whose sum is σ = 3014973268200. Its totient is φ = 466193960960.

The previous prime is 1230323312191. The next prime is 1230323312209. The reversal of 1230323312200 is 22133230321.

It is an interprime number because it is at equal distance from previous prime (1230323312191) and next prime (1230323312209).

It can be written as a sum of positive squares in 12 ways, for example, as 393211768356 + 837111543844 = 627066^2 + 914938^2 .

It is not an unprimeable number, because it can be changed into a prime (1230323312209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1693777 + ... + 2308576.

Almost surely, 21230323312200 is an apocalyptic number.

1230323312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230323312200 is an abundant number, since it is smaller than the sum of its proper divisors (1784649956000).

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

1230323312200 is a wasteful number, since it uses less digits than its factorization.

1230323312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002451 (or 4002442 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1230323312200 its reverse (22133230321), we get a palindrome (1252456542521).

The spelling of 1230323312200 in words is "one trillion, two hundred thirty billion, three hundred twenty-three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 53 58 100 106 116 145 200 212 232 265 290 424 530 580 725 1060 1160 1325 1450 1537 2120 2650 2900 3074 5300 5800 6148 7685 10600 12296 15370 30740 38425 61480 76850 153700 307400 4002353 8004706 16009412 20011765 32018824 40023530 80047060 100058825 116068237 160094120 200117650 212124709 232136474 400235300 424249418 464272948 580341185 800470600 848498836 928545896 1060623545 1160682370 1696997672 2121247090 2321364740 2901705925 4242494180 4642729480 5303117725 5803411850 6151616561 8484988360 10606235450 11606823700 12303233122 21212470900 23213647400 24606466244 30758082805 42424941800 49212932488 61516165610 123032331220 153790414025 246064662440 307580828050 615161656100 1230323312200