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1030223202200 = 235219475768327
BaseRepresentation
bin11101111110111100001…
…01101000011110011000
310122111012000201011201022
432333132011220132120
5113334344114432300
62105140014342012
7134300614506113
oct16773605503630
93574160634638
101030223202200
11367a0815a055
121477b77ba908
13761c397ca3a
1437c1239357a
151bbe9c7e285
hexefde168798

1030223202200 has 96 divisors (see below), whose sum is σ = 2574981619200. Its totient is φ = 382093914240.

The previous prime is 1030223202193. The next prime is 1030223202209. The reversal of 1030223202200 is 22023220301.

It is a super-2 number, since 2×10302232022002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030223202209) 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, 2705564 + ... + 3062763.

It is an arithmetic number, because the mean of its divisors is an integer number (26822725200).

Almost surely, 21030223202200 is an apocalyptic number.

1030223202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030223202200 is an abundant number, since it is smaller than the sum of its proper divisors (1544758417000).

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

1030223202200 is a wasteful number, since it uses less digits than its factorization.

1030223202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768409 (or 5768400 counting only the distinct ones).

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

Adding to 1030223202200 its reverse (22023220301), we get a palindrome (1052246422501).

The spelling of 1030223202200 in words is "one trillion, thirty billion, two hundred twenty-three million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 47 50 76 94 95 100 152 188 190 200 235 376 380 470 475 760 893 940 950 1175 1786 1880 1900 2350 3572 3800 4465 4700 7144 8930 9400 17860 22325 35720 44650 89300 178600 5768327 11536654 23073308 28841635 46146616 57683270 109598213 115366540 144208175 219196426 230733080 271111369 288416350 438392852 542222738 547991065 576832700 876785704 1084445476 1095982130 1153665400 1355556845 2168890952 2191964260 2711113690 2739955325 4383928520 5151116011 5422227380 5479910650 6777784225 10302232022 10844454760 10959821300 13555568450 20604464044 21919642600 25755580055 27111136900 41208928088 51511160110 54222273800 103022320220 128777900275 206044640440 257555800550 515111601100 1030223202200