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10204213040 = 245743423763
BaseRepresentation
bin10011000000011011…
…11110111100110000
3222100011000201202022
421200031332330300
5131344234304130
64404315411012
7510604244150
oct114015767460
928304021668
1010204213040
11436701531a
121b89453a68
13c680bb2a8
146cb320760
153eac9a7e5
hex26037ef30

10204213040 has 80 divisors (see below), whose sum is σ = 27744676608. Its totient is φ = 3417216768.

The previous prime is 10204213037. The next prime is 10204213049. The reversal of 10204213040 is 4031240201.

10204213040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10204213049) by changing a digit.

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, 187802 + ... + 235961.

Almost surely, 210204213040 is an apocalyptic number.

10204213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204213040 is an abundant number, since it is smaller than the sum of its proper divisors (17540463568).

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

10204213040 is a wasteful number, since it uses less digits than its factorization.

10204213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423826 (or 423820 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10204213040 its reverse (4031240201), we get a palindrome (14235453241).

The spelling of 10204213040 in words is "ten billion, two hundred four million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3440 4816 6020 12040 24080 423763 847526 1695052 2118815 2966341 3390104 4237630 5932682 6780208 8475260 11865364 14831705 16950520 18221809 23730728 29663410 33901040 36443618 47461456 59326820 72887236 91109045 118653640 127552663 145774472 182218090 237307280 255105326 291548944 364436180 510210652 637763315 728872360 1020421304 1275526630 1457744720 2040842608 2551053260 5102106520 10204213040