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1082253304200 = 2335212911397177
BaseRepresentation
bin11111011111110110101…
…00101110000110001000
310211110111002112012202010
433233323110232012020
5120212423321213300
62145102540135520
7141122150205435
oct17577324560610
93743432465663
101082253304200
11387a87859852
121558b85375a0
137b0961a6343
143a54a576b8c
151d242980a50
hexfbfb52e188

1082253304200 has 96 divisors (see below), whose sum is σ = 3357586395360. Its totient is φ = 288377126400.

The previous prime is 1082253304189. The next prime is 1082253304213. The reversal of 1082253304200 is 24033522801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 76012 + ... + 1473188.

It is an arithmetic number, because the mean of its divisors is an integer number (34974858285).

Almost surely, 21082253304200 is an apocalyptic number.

1082253304200 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 1082253304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678793197680).

1082253304200 is an abundant number, since it is smaller than the sum of its proper divisors (2275333091160).

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

1082253304200 is a wasteful number, since it uses less digits than its factorization.

1082253304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398487 (or 1398478 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1082253304200 in words is "one trillion, eighty-two billion, two hundred fifty-three million, three hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1291 2582 3873 5164 6455 7746 10328 12910 15492 19365 25820 30984 32275 38730 51640 64550 77460 96825 129100 154920 193650 258200 387300 774600 1397177 2794354 4191531 5588708 6985885 8383062 11177416 13971770 16766124 20957655 27943540 33532248 34929425 41915310 55887080 69858850 83830620 104788275 139717700 167661240 209576550 279435400 419153100 838306200 1803755507 3607511014 5411266521 7215022028 9018777535 10822533042 14430044056 18037555070 21645066084 27056332605 36075110140 43290132168 45093887675 54112665210 72150220280 90187775350 108225330420 135281663025 180375550700 216450660840 270563326050 360751101400 541126652100 1082253304200