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10403242311000 = 23353711192370299
BaseRepresentation
bin1001011101100011000110…
…0011111111110101011000
31100211112120211210002100210
42113120301203333311120
52330421320012423000
634043103351131120
72122416020420130
oct227306143776530
940745524702323
1010403242311000
113350a99088690
121200274973aa0
135a603842aa86
1427d73bb71ac0
1513092b2e6350
hex976318ffd58

10403242311000 has 512 divisors, whose sum is σ = 42597135360000. Its totient is φ = 2047937472000.

The previous prime is 10403242310987. The next prime is 10403242311013. The reversal of 10403242311000 is 11324230401.

It is an interprime number because it is at equal distance from previous prime (10403242310987) and next prime (10403242311013).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3203851 + ... + 5574149.

It is an arithmetic number, because the mean of its divisors is an integer number (83197530000).

Almost surely, 210403242311000 is an apocalyptic number.

10403242311000 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 10403242311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21298567680000).

10403242311000 is an abundant number, since it is smaller than the sum of its proper divisors (32193893049000).

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

10403242311000 is a wasteful number, since it uses less digits than its factorization.

10403242311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370360 (or 2370346 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10403242311000 its reverse (11324230401), we get a palindrome (10414566541401).

The spelling of 10403242311000 in words is "ten trillion, four hundred three billion, two hundred forty-two million, three hundred eleven thousand".