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1012201200200 = 235267544113883
BaseRepresentation
bin11101011101010111110…
…01001001101001001000
310120202200001010121121202
432232223321021221020
5113040442001401300
62052555424323332
7133062201146201
oct16565371115110
93522601117552
101012201200200
113602aa20a223
12144208173548
13745b1017a28
1436dc2a7a5a8
151b4e29cbad5
hexebabe49a48

1012201200200 has 96 divisors (see below), whose sum is σ = 2389103739360. Its totient is φ = 398735462400.

The previous prime is 1012201200193. The next prime is 1012201200221. The reversal of 1012201200200 is 20021022101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72902459 + ... + 72916341.

It is an arithmetic number, because the mean of its divisors is an integer number (24886497285).

Almost surely, 21012201200200 is an apocalyptic number.

1012201200200 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 1012201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194551869680).

1012201200200 is an abundant number, since it is smaller than the sum of its proper divisors (1376902539160).

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

1012201200200 is a wasteful number, since it uses less digits than its factorization.

1012201200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407 (or 19398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1012201200200 its reverse (20021022101), we get a palindrome (1032222222301).

The spelling of 1012201200200 in words is "one trillion, twelve billion, two hundred one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 5441 6700 10882 13400 13883 21764 27205 27766 43528 54410 55532 69415 108820 111064 136025 138830 217640 272050 277660 347075 364547 544100 555320 694150 729094 930161 1088200 1388300 1458188 1822735 1860322 2776600 2916376 3645470 3720644 4650805 7290940 7441288 9113675 9301610 14581880 18227350 18603220 23254025 36454700 37206440 46508050 72909400 75537403 93016100 151074806 186032200 302149612 377687015 604299224 755374030 1510748060 1888435075 3021496120 3776870150 5061006001 7553740300 10122012002 15107480600 20244024004 25305030005 40488048008 50610060010 101220120020 126525150025 202440240040 253050300050 506100600100 1012201200200