Search a number
-
+
13125442520333 = 1121321793585823
BaseRepresentation
bin1011111100000000000101…
…0101101100010100001101
31201110210001122201211010002
42333000001111230110031
53210021401241122313
643525424533054045
72523165462416123
oct277000125542415
951423048654102
1013125442520333
114200518139a00
12157b970187325
137429545ac700
143353bc101913
1517b652356058
hexbf00156c50d

13125442520333 has 36 divisors (see below), whose sum is σ = 15709566660480. Its totient is φ = 10952821582560.

The previous prime is 13125442520303. The next prime is 13125442520347. The reversal of 13125442520333 is 33302524452131.

It is a de Polignac number, because none of the positive numbers 2k-13125442520333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13125442520303) 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 35 ways as a sum of consecutive naturals, for example, 1867460 + ... + 5453282.

It is an arithmetic number, because the mean of its divisors is an integer number (436376851680).

Almost surely, 213125442520333 is an apocalyptic number.

13125442520333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13125442520333 is a deficient number, since it is larger than the sum of its proper divisors (2584124140147).

13125442520333 is a wasteful number, since it uses less digits than its factorization.

13125442520333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586050 (or 3586026 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 13125442520333 its reverse (33302524452131), we get a palindrome (46427966972464).

The spelling of 13125442520333 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty-two million, five hundred twenty thousand, three hundred thirty-three".

Divisors: 1 11 13 121 143 169 179 1573 1859 1969 2327 20449 21659 25597 30251 281567 332761 3585823 3660371 39444053 46615699 433884583 512772689 606004087 641862317 5640499579 6666044957 7060485487 8344210121 73326494527 77665340357 91786311331 108474731573 1009649424641 1193222047303 13125442520333