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10123313200 = 245271113131193
BaseRepresentation
bin10010110110110010…
…11000000000110000
3222010111210121000221
421123121120000300
5131213032010300
64352305422424
7505602512440
oct113331300060
928114717027
1010123313200
11432538a050
121b6633aa14
13c54404470
146c06a2120
153e3b1a31a
hex25b658030

10123313200 has 480 divisors, whose sum is σ = 33074883072. Its totient is φ = 2875392000.

The previous prime is 10123313191. The next prime is 10123313237. The reversal of 10123313200 is 231332101.

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

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 95 ways as a sum of consecutive naturals, for example, 52452304 + ... + 52452496.

Almost surely, 210123313200 is an apocalyptic number.

10123313200 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 10123313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537441536).

10123313200 is an abundant number, since it is smaller than the sum of its proper divisors (22951569872).

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

10123313200 is a wasteful number, since it uses less digits than its factorization.

10123313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10123313200 its reverse (231332101), we get a palindrome (10354645301).

It can be divided in two parts, 10123 and 313200, that added together give a palindrome (323323).

The spelling of 10123313200 in words is "ten billion, one hundred twenty-three million, three hundred thirteen thousand, two hundred".