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10033310000 = 24547143333
BaseRepresentation
bin10010101100000100…
…00010100100110000
3221220020102221212002
421112002002210300
5131022011410000
64335332353132
7503430504440
oct112602024460
927806387762
1010033310000
1142895a633a
121b401757a8
13c3b880c2c
146b2754120
153dac8c8d5
hex256082930

10033310000 has 100 divisors (see below), whose sum is σ = 27762075792. Its totient is φ = 3439968000.

The previous prime is 10033309973. The next prime is 10033310041. The reversal of 10033310000 is 1333001.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×100333100002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1667 + ... + 141666.

Almost surely, 210033310000 is an apocalyptic number.

10033310000 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 10033310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13881037896).

10033310000 is an abundant number, since it is smaller than the sum of its proper divisors (17728765792).

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

10033310000 is an equidigital number, since it uses as much as digits as its factorization.

10033310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143368 (or 143347 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 10033310000 its reverse (1333001), we get a palindrome (10034643001).

The spelling of 10033310000 in words is "ten billion, thirty-three million, three hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 143333 286666 573332 716665 1003331 1146664 1433330 2006662 2293328 2866660 3583325 4013324 5016655 5733320 7166650 8026648 10033310 11466640 14333300 16053296 17916625 20066620 25083275 28666600 35833250 40133240 50166550 57333200 71666500 80266480 89583125 100333100 125416375 143333000 179166250 200666200 250832750 286666000 358332500 401332400 501665500 627081875 716665000 1003331000 1254163750 1433330000 2006662000 2508327500 5016655000 10033310000