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10217237320 = 2351715025349
BaseRepresentation
bin10011000001111111…
…01010101101001000
3222101001112102201001
421200333222231020
5131411103043240
64405502504344
7511123040623
oct114077525510
928331472631
1010217237320
114373400694
121b918950b4
13c6a9cb574
146ccd50dba
153ebebe89a
hex260feab48

10217237320 has 32 divisors (see below), whose sum is σ = 24341067000. Its totient is φ = 3846489088.

The previous prime is 10217237311. The next prime is 10217237323. The reversal of 10217237320 is 2373271201.

It is a happy number.

10217237320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7790886756 + 2426350564 = 88266^2 + 49258^2 .

It is not an unprimeable number, because it can be changed into a prime (10217237323) 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 7 ways as a sum of consecutive naturals, for example, 7511995 + ... + 7513354.

Almost surely, 210217237320 is an apocalyptic number.

10217237320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217237320 is an abundant number, since it is smaller than the sum of its proper divisors (14123829680).

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

10217237320 is a wasteful number, since it uses less digits than its factorization.

10217237320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15025377 (or 15025373 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 10217237320 in words is "ten billion, two hundred seventeen million, two hundred thirty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15025349 30050698 60101396 75126745 120202792 150253490 255430933 300506980 510861866 601013960 1021723732 1277154665 2043447464 2554309330 5108618660 10217237320