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10330210000 = 24541193911
BaseRepresentation
bin10011001111011101…
…00111111011010000
3222122221010001002101
421213232213323100
5132124013210000
64425020130144
7513664223215
oct114756477320
928587101071
1010330210000
114421152740
122003696954
13c882349c6
146ddd5bb0c
15406d87e6a
hex267ba7ed0

10330210000 has 100 divisors (see below), whose sum is σ = 27284441184. Its totient is φ = 3756400000.

The previous prime is 10330209971. The next prime is 10330210001. The reversal of 10330210000 is 1203301.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63045 + ... + 156955.

Almost surely, 210330210000 is an apocalyptic number.

10330210000 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 10330210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13642220592).

10330210000 is an abundant number, since it is smaller than the sum of its proper divisors (16954231184).

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

10330210000 is an equidigital number, since it uses as much as digits as its factorization.

10330210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93950 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10330210000 its reverse (1203301), we get a palindrome (10331413301).

The spelling of 10330210000 in words is "ten billion, three hundred thirty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 93911 110000 187822 375644 469555 751288 939110 1033021 1502576 1878220 2066042 2347775 3756440 4132084 4695550 5165105 7512880 8264168 9391100 10330210 11738875 16528336 18782200 20660420 23477750 25825525 37564400 41320840 46955500 51651050 58694375 82641680 93911000 103302100 117388750 129127625 187822000 206604200 234777500 258255250 413208400 469555000 516510500 645638125 939110000 1033021000 1291276250 2066042000 2582552500 5165105000 10330210000