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13144420102301 = 238934918399167
BaseRepresentation
bin1011111101000110110001…
…1111011011000010011101
31201112121001020101212111022
42333101230133123002131
53210324233021233201
643542244020333525
72524436661252335
oct277215437330235
951477036355438
1013144420102301
114208576523144
1215835878442a5
1374468a1cb257
1433629c6c20c5
1517bdb346341b
hexbf46c7db09d

13144420102301 has 16 divisors (see below), whose sum is σ = 13909771008000. Its totient is φ = 12396033310848.

The previous prime is 13144420102273. The next prime is 13144420102367. The reversal of 13144420102301 is 10320102444131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13144420102301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144420104301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8485181 + ... + 9913986.

It is an arithmetic number, because the mean of its divisors is an integer number (869360688000).

Almost surely, 213144420102301 is an apocalyptic number.

It is an amenable number.

13144420102301 is a deficient number, since it is larger than the sum of its proper divisors (765350905699).

13144420102301 is a wasteful number, since it uses less digits than its factorization.

13144420102301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399628.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13144420102301 its reverse (10320102444131), we get a palindrome (23464522546432).

The spelling of 13144420102301 in words is "thirteen trillion, one hundred forty-four billion, four hundred twenty million, one hundred two thousand, three hundred one".

Divisors: 1 23 89 349 2047 8027 31061 714403 18399167 423180841 1637525863 6421309283 37663094849 147690113509 571496526187 13144420102301