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1033030300212 = 2232401641111637
BaseRepresentation
bin11110000100001010110…
…01110111001000110100
310122202102122202112021100
433002011121313020310
5113411121224101322
62110322332250100
7134430311446251
oct17020531671064
93582378675240
101033030300212
11369118745369
1214825b910930
13765503c3991
1437ddb104428
151bd1141bdac
hexf085677234

1033030300212 has 72 divisors (see below), whose sum is σ = 2621890324872. Its totient is φ = 342945792000.

The previous prime is 1033030300207. The next prime is 1033030300223. The reversal of 1033030300212 is 2120030303301.

1033030300212 is a `hidden beast` number, since 1 + 0 + 330 + 30 + 300 + 2 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976764562596 + 56265737616 = 988314^2 + 237204^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9197658 + ... + 9309294.

It is an arithmetic number, because the mean of its divisors is an integer number (36415143401).

Almost surely, 21033030300212 is an apocalyptic number.

1033030300212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033030300212 is an abundant number, since it is smaller than the sum of its proper divisors (1588860024660).

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

1033030300212 is a wasteful number, since it uses less digits than its factorization.

1033030300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112689 (or 112684 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1033030300212 its reverse (2120030303301), we get a palindrome (3153060603513).

The spelling of 1033030300212 in words is "one trillion, thirty-three billion, thirty million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 401 641 802 1203 1282 1604 1923 2406 2564 3609 3846 4812 5769 7218 7692 11538 14436 23076 111637 223274 257041 334911 446548 514082 669822 771123 1004733 1028164 1339644 1542246 2009466 2313369 3084492 4018932 4626738 9253476 44766437 71559317 89532874 134299311 143118634 179065748 214677951 268598622 286237268 402897933 429355902 537197244 644033853 805795866 858711804 1288067706 1611591732 2576135412 28695286117 57390572234 86085858351 114781144468 172171716702 258257575053 344343433404 516515150106 1033030300212