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10031120200 = 2352473310597
BaseRepresentation
bin10010101011110011…
…01011111101001000
3221220002022201000101
421111321223331020
5131020431321300
64335213415144
7503403054253
oct112571537510
927802281011
1010031120200
114288340092
121b3b49a4b4
13c3b2952aa
146b234409a
153da9a8b6a
hex255e6bf48

10031120200 has 48 divisors (see below), whose sum is σ = 23329483380. Its totient is φ = 4011221760.

The previous prime is 10031120191. The next prime is 10031120219. The reversal of 10031120200 is 202113001.

It can be written as a sum of positive squares in 6 ways, for example, as 270865764 + 9760254436 = 16458^2 + 98794^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 941302 + ... + 951898.

Almost surely, 210031120200 is an apocalyptic number.

10031120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031120200 is an abundant number, since it is smaller than the sum of its proper divisors (13298363180).

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

10031120200 is a wasteful number, since it uses less digits than its factorization.

10031120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10031120200 its reverse (202113001), we get a palindrome (10233233201).

The spelling of 10031120200 in words is "ten billion, thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4733 9466 10597 18932 21194 23665 37864 42388 47330 52985 84776 94660 105970 118325 189320 211940 236650 264925 423880 473300 529850 946600 1059700 2119400 50155601 100311202 200622404 250778005 401244808 501556010 1003112020 1253890025 2006224040 2507780050 5015560100 10031120200