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1001023200200 = 235212374046173
BaseRepresentation
bin11101001000100011010…
…00011101101111001000
310112200211000202101021202
432210101220131233020
5112400043414401300
62043510321123332
7132215200545002
oct16442150355710
93480730671252
101001023200200
113565935553a1
12142008789548
137351c26994a
14366422b3372
151b08b4cbad5
hexe911a1dbc8

1001023200200 has 48 divisors (see below), whose sum is σ = 2329260986580. Its totient is φ = 400085487360.

The previous prime is 1001023200197. The next prime is 1001023200227. The reversal of 1001023200200 is 20023201001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 345464168644 + 655559031556 = 587762^2 + 809666^2 .

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 11 ways as a sum of consecutive naturals, for example, 1775687 + ... + 2270486.

Almost surely, 21001023200200 is an apocalyptic number.

1001023200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001023200200 is an abundant number, since it is smaller than the sum of its proper divisors (1328237786380).

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

1001023200200 is a wasteful number, since it uses less digits than its factorization.

1001023200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047426 (or 4047417 counting only the distinct ones).

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

Adding to 1001023200200 its reverse (20023201001), we get a palindrome (1021046401201).

The spelling of 1001023200200 in words is "one trillion, one billion, twenty-three million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1237 2474 4948 6185 9896 12370 24740 30925 49480 61850 123700 247400 4046173 8092346 16184692 20230865 32369384 40461730 80923460 101154325 161846920 202308650 404617300 809234600 5005116001 10010232002 20020464004 25025580005 40040928008 50051160010 100102320020 125127900025 200204640040 250255800050 500511600100 1001023200200