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10343212000 = 255311317583
BaseRepresentation
bin10011010001000000…
…01110001111100000
3222200211120121110221
421220200032033200
5132140330241000
64430202532424
7514212565012
oct115040161740
928624517427
1010343212000
1144285232a0
122007b07114
13c8ab37ab4
147019841b2
154080a561a
hex26880e3e0

10343212000 has 192 divisors, whose sum is σ = 28621651968. Its totient is φ = 3639360000.

The previous prime is 10343211971. The next prime is 10343212021. The reversal of 10343212000 is 21234301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1360209 + ... + 1367791.

It is an arithmetic number, because the mean of its divisors is an integer number (149071104).

Almost surely, 210343212000 is an apocalyptic number.

10343212000 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 10343212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14310825984).

10343212000 is an abundant number, since it is smaller than the sum of its proper divisors (18278439968).

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

10343212000 is a wasteful number, since it uses less digits than its factorization.

10343212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10343212000 its reverse (21234301), we get a palindrome (10364446301).

The spelling of 10343212000 in words is "ten billion, three hundred forty-three million, two hundred twelve thousand".