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1002310200200 = 235226338214987
BaseRepresentation
bin11101001010111100101…
…01111110101110001000
310112211010201110202101102
432211132111332232020
5112410212402401300
62044242134040532
7132262116062411
oct16453625765610
93484121422342
101002310200200
11357093a83561
121423077a9148
1373695aa26ca
14367251ac808
151b1144a00d5
hexe95e57eb88

1002310200200 has 96 divisors (see below), whose sum is σ = 2340313335360. Its totient is φ = 399215059200.

The previous prime is 1002310200187. The next prime is 1002310200233. The reversal of 1002310200200 is 20020132001.

It is a happy number.

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, 200982107 + ... + 200987093.

It is an arithmetic number, because the mean of its divisors is an integer number (24378263910).

Almost surely, 21002310200200 is an apocalyptic number.

1002310200200 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 1002310200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170156667680).

1002310200200 is an abundant number, since it is smaller than the sum of its proper divisors (1338003135160).

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

1002310200200 is a wasteful number, since it uses less digits than its factorization.

1002310200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1002310200200 its reverse (20020132001), we get a palindrome (1022330332201).

The spelling of 1002310200200 in words is "one trillion, two billion, three hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 526 1052 1315 2104 2630 3821 4987 5260 6575 7642 9974 10520 13150 15284 19105 19948 24935 26300 30568 38210 39896 49870 52600 76420 95525 99740 124675 152840 191050 199480 249350 382100 498700 764200 997400 1004923 1311581 2009846 2623162 4019692 5024615 5246324 6557905 8039384 10049230 10492648 13115810 19055327 20098460 25123075 26231620 32789525 38110654 40196920 50246150 52463240 65579050 76221308 95276635 100492300 131158100 152442616 190553270 200984600 262316200 381106540 476383175 762213080 952766350 1905532700 3811065400 5011551001 10023102002 20046204004 25057755005 40092408008 50115510010 100231020020 125288775025 200462040040 250577550050 501155100100 1002310200200