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1248107313201 = 37149398883769
BaseRepresentation
bin10010001010011000111…
…111100011100000110001
311102022120202002211102020
4102022120333203200301
5130422110433010301
62353212251142053
7156113156055330
oct22123077434061
94368522084366
101248107313201
11441357049581
12181a84744929
13909081b47c8
14445a1735d17
15226ed319436
hex12298fe3831

1248107313201 has 16 divisors (see below), whose sum is σ = 1914642096000. Its totient is φ = 708417571968.

The previous prime is 1248107313197. The next prime is 1248107313263. The reversal of 1248107313201 is 1023137018421.

It is not a de Polignac number, because 1248107313201 - 22 = 1248107313197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1248107313701) 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, 199438756 + ... + 199445013.

It is an arithmetic number, because the mean of its divisors is an integer number (119665131000).

Almost surely, 21248107313201 is an apocalyptic number.

It is an amenable number.

1248107313201 is a deficient number, since it is larger than the sum of its proper divisors (666534782799).

1248107313201 is a wasteful number, since it uses less digits than its factorization.

1248107313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398883928.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 1248107313201 in words is "one trillion, two hundred forty-eight billion, one hundred seven million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 21 149 447 1043 3129 398883769 1196651307 2792186383 8376559149 59433681581 178301044743 416035771067 1248107313201