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10013403000 = 2335331107671
BaseRepresentation
bin10010101001101100…
…00110011101111000
3221211211222120120210
421110312012131320
5131001412344000
64333341551120
7503066343516
oct112466063570
927754876523
1010013403000
114279339977
121b355754a0
13c37700c43
146adc514b6
153d9159350
hex254d86778

10013403000 has 128 divisors (see below), whose sum is σ = 32249917440. Its totient is φ = 2584080000.

The previous prime is 10013402989. The next prime is 10013403067. The reversal of 10013403000 is 30431001.

10013403000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 39165 + ... + 146835.

It is an arithmetic number, because the mean of its divisors is an integer number (251952480).

Almost surely, 210013403000 is an apocalyptic number.

10013403000 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 10013403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124958720).

10013403000 is an abundant number, since it is smaller than the sum of its proper divisors (22236514440).

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

10013403000 is a wasteful number, since it uses less digits than its factorization.

10013403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107726 (or 107712 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10013403000 its reverse (30431001), we get a palindrome (10043834001).

The spelling of 10013403000 in words is "ten billion, thirteen million, four hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1500 1550 1860 2325 3000 3100 3720 3875 4650 6200 7750 9300 11625 15500 18600 23250 31000 46500 93000 107671 215342 323013 430684 538355 646026 861368 1076710 1292052 1615065 2153420 2584104 2691775 3230130 3337801 4306840 5383550 6460260 6675602 8075325 10013403 10767100 12920520 13351204 13458875 16150650 16689005 20026806 21534200 26702408 26917750 32301300 33378010 40053612 40376625 50067015 53835500 64602600 66756020 80107224 80753250 83445025 100134030 107671000 133512040 161506500 166890050 200268060 250335075 323013000 333780100 400536120 417225125 500670150 667560200 834450250 1001340300 1251675375 1668900500 2002680600 2503350750 3337801000 5006701500 10013403000