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1012050312 = 2337513193
BaseRepresentation
bin111100010100101…
…010100110001000
32121112100111000220
4330110222212020
54033041102222
6244231430040
734036200000
oct7424524610
92545314026
101012050312
1147a304419
12242b25320
13131899050
14985a7000
155dcb1b5c
hex3c52a988

1012050312 has 192 divisors, whose sum is σ = 3195319680. Its totient is φ = 265531392.

The previous prime is 1012050311. The next prime is 1012050337. The reversal of 1012050312 is 2130502101.

It is a junction number, because it is equal to n+sod(n) for n = 1012050291 and 1012050300.

It is not an unprimeable number, because it can be changed into a prime (1012050311) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5243688 + ... + 5243880.

It is an arithmetic number, because the mean of its divisors is an integer number (16642290).

Almost surely, 21012050312 is an apocalyptic number.

1012050312 is a gapful number since it is divisible by the number (12) 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 1012050312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597659840).

1012050312 is an abundant number, since it is smaller than the sum of its proper divisors (2183269368).

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

1012050312 is an equidigital number, since it uses as much as digits as its factorization.

1012050312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1012050312 is about 31812.7382034304. The cubic root of 1012050312 is about 1004.0007433739. Note that the first 3 decimals are identical.

Adding to 1012050312 its reverse (2130502101), we get a palindrome (3142552413).

The spelling of 1012050312 in words is "one billion, twelve million, fifty thousand, three hundred twelve".