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10013331000 = 233533337777
BaseRepresentation
bin10010101001101011…
…10100111000111000
3221211211211220211010
421110311310320320
5131001403043000
64333340233520
7503065623561
oct112465647070
927754756733
1010013331000
11427929a872
121b3553b8a0
13c376a723a
146adc33168
153d9142d50
hex254d74e38

10013331000 has 64 divisors (see below), whose sum is σ = 31241602080. Its totient is φ = 2670220800.

The previous prime is 10013330989. The next prime is 10013331011. The reversal of 10013331000 is 13331001.

10013331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10013330989) and next prime (10013331011).

It is a super-2 number, since 2×100133310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1665889 + ... + 1671888.

Almost surely, 210013331000 is an apocalyptic number.

10013331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013331000 is an abundant number, since it is smaller than the sum of its proper divisors (21228271080).

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

10013331000 is a wasteful number, since it uses less digits than its factorization.

10013331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337801 (or 3337787 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10013331000 its reverse (13331001), we get a palindrome (10026662001).

Subtracting from 10013331000 its reverse (13331001), we obtain a palindrome (9999999999).

The spelling of 10013331000 in words is "ten billion, thirteen million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3337777 6675554 10013331 13351108 16688885 20026662 26702216 33377770 40053324 50066655 66755540 80106648 83444425 100133310 133511080 166888850 200266620 250333275 333777700 400533240 417222125 500666550 667555400 834444250 1001333100 1251666375 1668888500 2002666200 2503332750 3337777000 5006665500 10013331000