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10291229312 = 27731321973
BaseRepresentation
bin10011001010110011…
…11011001010000000
3222120012202121122012
421211121323022000
5132034023314222
64421104432052
7513012002000
oct114531731200
928505677565
1010291229312
1144011489a1
121bb2618628
13c80137100
146d8ad2000
154037381e2
hex26567b280

10291229312 has 384 divisors, whose sum is σ = 27625680000. Its totient is φ = 3804143616.

The previous prime is 10291229303. The next prime is 10291229317. The reversal of 10291229312 is 21392219201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10291229317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140975708 + ... + 140975780.

It is an arithmetic number, because the mean of its divisors is an integer number (71941875).

Almost surely, 210291229312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10291229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812840000).

10291229312 is an abundant number, since it is smaller than the sum of its proper divisors (17334450688).

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

10291229312 is an equidigital number, since it uses as much as digits as its factorization.

10291229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10291229312 in words is "ten billion, two hundred ninety-one million, two hundred twenty-nine thousand, three hundred twelve".