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13000152652125 = 353592412438081
BaseRepresentation
bin1011110100101101010101…
…1110110001100101011101
31201000210122222202001121220
42331023111132301211131
53200443303034332000
643352104312243553
72511141621205332
oct275132536614535
951023588661556
1013000152652125
114162374293581
12155b6249a05b9
13733ba84a5512
1432d2d4400989
1517826cc8c1a0
hexbd2d57b195d

13000152652125 has 64 divisors (see below), whose sum is σ = 22090193199360. Its totient is φ = 6787614720000.

The previous prime is 13000152652117. The next prime is 13000152652133. The reversal of 13000152652125 is 52125625100031.

It is an interprime number because it is at equal distance from previous prime (13000152652117) and next prime (13000152652133).

It is not a de Polignac number, because 13000152652125 - 23 = 13000152652117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4113085 + ... + 6551165.

It is an arithmetic number, because the mean of its divisors is an integer number (345159268740).

Almost surely, 213000152652125 is an apocalyptic number.

13000152652125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13000152652125 is a deficient number, since it is larger than the sum of its proper divisors (9090040547235).

13000152652125 is a wasteful number, since it uses less digits than its factorization.

13000152652125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438399 (or 2438389 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 13000152652125 its reverse (52125625100031), we get a palindrome (65125777752156).

The spelling of 13000152652125 in words is "thirteen trillion, one hundred fifty-two million, six hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 59 75 125 177 241 295 375 723 885 1205 1475 3615 4425 6025 7375 14219 18075 22125 30125 42657 71095 90375 213285 355475 1066425 1777375 2438081 5332125 7314243 12190405 36571215 60952025 143846779 182856075 304760125 431540337 587577521 719233895 914280375 1762732563 2157701685 2937887605 3596169475 8813662815 10788508425 14689438025 17980847375 34667073739 44068314075 53942542125 73447190125 104001221217 173335368695 220341570375 520006106085 866676843475 2600030530425 4333384217375 13000152652125