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10312302000000 = 273567111317101
BaseRepresentation
bin1001011000010000010100…
…0110001111011110000000
31100111211212001112122001010
42112010011012033132000
52322424043303000000
633533223420440520
72113016312503110
oct226040506173600
940454761478033
1010312302000000
113316471701a70
1211a67150a9140
1359a5a4869b70
14279192023040
1512d3a7628d50
hex9610518f780

10312302000000 has 3584 divisors, whose sum is σ = 49158270766080. Its totient is φ = 1843200000000.

The previous prime is 10312301999977. The next prime is 10312302000023. The reversal of 10312302000000 is 20321301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10312301999977) and next prime (10312302000023).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10312302000000.

It is a congruent number.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 102101999950 + ... + 102102000050.

It is an arithmetic number, because the mean of its divisors is an integer number (13716035370).

Almost surely, 210312302000000 is an apocalyptic number.

10312302000000 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 10312302000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579135383040).

10312302000000 is an abundant number, since it is smaller than the sum of its proper divisors (38845968766080).

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

10312302000000 is a wasteful number, since it uses less digits than its factorization.

10312302000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10312302000000 its reverse (20321301), we get a palindrome (10312322321301).

The spelling of 10312302000000 in words is "ten trillion, three hundred twelve billion, three hundred two million", and thus it is an aban number.