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11553215001125 = 537313331127867
BaseRepresentation
bin1010100000011111000101…
…0001101011001000100101
31111220110212102021112121112
42220013301101223020211
53003241441020014000
640323250152554405
72301456303124610
oct250076121531045
944813772245545
1011553215001125
113754766749386
1213671103b2a05
1365a604403375
142bd27009b177
151507d4045235
hexa81f146b225

11553215001125 has 64 divisors (see below), whose sum is σ = 17014979444736. Its totient is φ = 7664288040000.

The previous prime is 11553215001121. The next prime is 11553215001161. The reversal of 11553215001125 is 52110051235511.

It is not a de Polignac number, because 11553215001125 - 22 = 11553215001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11553215001091 and 11553215001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553215001121) 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 63 ways as a sum of consecutive naturals, for example, 90289442 + ... + 90417308.

It is an arithmetic number, because the mean of its divisors is an integer number (265859053824).

Almost surely, 211553215001125 is an apocalyptic number.

It is an amenable number.

11553215001125 is a deficient number, since it is larger than the sum of its proper divisors (5461764443611).

11553215001125 is a wasteful number, since it uses less digits than its factorization.

11553215001125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131251 (or 131241 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

Adding to 11553215001125 its reverse (52110051235511), we get a palindrome (63663266236636).

The spelling of 11553215001125 in words is "eleven trillion, five hundred fifty-three billion, two hundred fifteen million, one thousand, one hundred twenty-five".

Divisors: 1 5 7 25 31 35 125 155 175 217 775 875 1085 3331 3875 5425 16655 23317 27125 83275 103261 116585 127867 416375 516305 582925 639335 722827 895069 2581525 2914625 3196675 3614135 3963877 4475345 12907625 15983375 18070675 19819385 22376725 27747139 90353375 99096925 111883625 138735695 425924977 495484625 693678475 2129624885 2981474839 3468392375 10648124425 13203674287 14907374195 53240622125 66018371435 74536870975 92425720009 330091857175 372684354875 462128600045 1650459285875 2310643000225 11553215001125