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10021403000 = 235371638783
BaseRepresentation
bin10010101010101001…
…00111100101111000
3221212102001000112002
421111110213211320
5131010434344000
64334225240132
7503224343240
oct112524474570
927772030462
1010021403000
114282903444
121b38193048
13c3927237b
146b0d34b20
153d9bd98d5
hex255527978

10021403000 has 128 divisors (see below), whose sum is σ = 26967582720. Its totient is φ = 3414441600.

The previous prime is 10021402987. The next prime is 10021403017. The reversal of 10021403000 is 30412001.

It is a happy number.

10021403000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1136609 + ... + 1145391.

It is an arithmetic number, because the mean of its divisors is an integer number (210684240).

Almost surely, 210021403000 is an apocalyptic number.

10021403000 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 10021403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483791360).

10021403000 is an abundant number, since it is smaller than the sum of its proper divisors (16946179720).

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

10021403000 is a wasteful number, since it uses less digits than its factorization.

10021403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8974 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10021403000 its reverse (30412001), we get a palindrome (10051815001).

Subtracting from 10021403000 its reverse (30412001), we obtain a palindrome (9990990999).

The spelling of 10021403000 in words is "ten billion, twenty-one million, four hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 163 175 200 250 280 326 350 500 652 700 815 875 1000 1141 1304 1400 1630 1750 2282 3260 3500 4075 4564 5705 6520 7000 8150 8783 9128 11410 16300 17566 20375 22820 28525 32600 35132 40750 43915 45640 57050 61481 70264 81500 87830 114100 122962 142625 163000 175660 219575 228200 245924 285250 307405 351320 439150 491848 570500 614810 878300 1097875 1141000 1229620 1431629 1537025 1756600 2195750 2459240 2863258 3074050 4391500 5726516 6148100 7158145 7685125 8783000 10021403 11453032 12296200 14316290 15370250 20042806 28632580 30740500 35790725 40085612 50107015 57265160 61481000 71581450 80171224 100214030 143162900 178953625 200428060 250535075 286325800 357907250 400856120 501070150 715814500 1002140300 1252675375 1431629000 2004280600 2505350750 5010701500 10021403000