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5105153213325 = 3252112374786861
BaseRepresentation
bin100101001001010001011…
…0110000000001110001101
3200002001021220102211101200
41022102202312000032031
51132120323210311300
614505135222500113
71034556312220164
oct112224266001615
920061256384350
105105153213325
1116990a0997050
126a54b5594639
132b054c3b7c59
1413913ad8c3db
158cbe4079200
hex4a4a2d8038d

5105153213325 has 72 divisors (see below), whose sum is σ = 9975694880736. Its totient is φ = 2475093072000.

The previous prime is 5105153213291. The next prime is 5105153213357. The reversal of 5105153213325 is 5233123515015.

5105153213325 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 1 + 5 + 321 + 3 + 325 = 666.

It is not a de Polignac number, because 5105153213325 - 212 = 5105153209229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5105153213325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58730395 + ... + 58817255.

It is an arithmetic number, because the mean of its divisors is an integer number (138551317788).

Almost surely, 25105153213325 is an apocalyptic number.

5105153213325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5105153213325 is a deficient number, since it is larger than the sum of its proper divisors (4870541667411).

5105153213325 is a wasteful number, since it uses less digits than its factorization.

5105153213325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110635 (or 110627 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 5105153213325 in words is "five trillion, one hundred five billion, one hundred fifty-three million, two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 23747 71241 86861 118735 213723 260583 261217 356205 434305 593675 781749 783651 955471 1068615 1302915 1306085 1781025 2171525 2350953 2866413 3908745 3918255 4777355 5343075 6514575 6530425 8599239 11754765 14332065 19543725 19591275 23886775 42996195 58773825 71660325 214980975 2062688167 6188064501 10313440835 18564193503 22689569837 30940322505 51567204175 68068709511 92820967515 113447849185 154701612525 204206128533 340343547555 464104837575 567239245925 1021030642665 1701717737775 5105153213325