Search a number
-
+
13122345023415 = 335162759743427
BaseRepresentation
bin1011111011110100100010…
…1101101011011110110111
31201110111001210020200011000
42332331020231223132313
53204444030311222130
643524153323014343
72523025641214635
oct276751055533667
951414053220130
1013122345023415
1141aa1787376a1
12157b24696a3b3
1374257c94cab4
143351a699a355
1517b520454260
hexbef48b6b7b7

13122345023415 has 32 divisors (see below), whose sum is σ = 23342952188160. Its totient is φ = 6994282368672.

The previous prime is 13122345023351. The next prime is 13122345023443. The reversal of 13122345023415 is 51432054322131.

13122345023415 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 234 + 5 + 0 + 2 + 3 + 415 = 666.

It is not a de Polignac number, because 13122345023415 - 26 = 13122345023351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122345023415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29652069 + ... + 30091358.

It is an arithmetic number, because the mean of its divisors is an integer number (729467255880).

Almost surely, 213122345023415 is an apocalyptic number.

13122345023415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13122345023415 is a deficient number, since it is larger than the sum of its proper divisors (10220607164745).

13122345023415 is a wasteful number, since it uses less digits than its factorization.

13122345023415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59745068 (or 59745062 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13122345023415 its reverse (51432054322131), we get a palindrome (64554399345546).

The spelling of 13122345023415 in words is "thirteen trillion, one hundred twenty-two billion, three hundred forty-five million, twenty-three thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 1627 4881 8135 14643 24405 43929 73215 219645 59743427 179230281 298717135 537690843 896151405 1613072529 2688454215 8065362645 97202555729 291607667187 486012778645 874823001561 1458038335935 2624469004683 4374115007805 13122345023415