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10503242400399 = 373713517686487
BaseRepresentation
bin1001100011010111101000…
…0010000100001010001111
31101012002201000120222020120
42120311322002010022033
52334041120023303044
634201042320120023
72132556065230230
oct230657202041217
941162630528216
1010503242400399
11338a444574971
121217722766013
135b25b3c6c0c8
14284506c17087
1513333054c519
hex98d7a08428f

10503242400399 has 16 divisors (see below), whose sum is σ = 16437506769408. Its totient is φ = 5839640561952.

The previous prime is 10503242400377. The next prime is 10503242400407. The reversal of 10503242400399 is 99300424230501.

It is not a de Polignac number, because 10503242400399 - 27 = 10503242400271 is a prime.

It is a super-2 number, since 2×105032424003992 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10503242400399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503242400359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6758842467 + ... + 6758844020.

It is an arithmetic number, because the mean of its divisors is an integer number (1027344173088).

Almost surely, 210503242400399 is an apocalyptic number.

10503242400399 is a deficient number, since it is larger than the sum of its proper divisors (5934264369009).

10503242400399 is a wasteful number, since it uses less digits than its factorization.

10503242400399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517686534.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 10503242400399 in words is "ten trillion, five hundred three billion, two hundred forty-two million, four hundred thousand, three hundred ninety-nine".

Divisors: 1 3 7 21 37 111 259 777 13517686487 40553059461 94623805409 283871416227 500154400019 1500463200057 3501080800133 10503242400399