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153245131025 = 527101127233293
BaseRepresentation
bin1000111010111000011…
…1110010000100010001
3112122112220202020202112
42032232013302010101
510002321223143100
6154222210555105
714033362056440
oct2165607620421
9478486666675
10153245131025
1159a99977118
1225849598a95
13115b299012c
1475ba766d57
153ebd944b35
hex23ae1f2111

153245131025 has 96 divisors (see below), whose sum is σ = 222753742848. Its totient is φ = 102428928000.

The previous prime is 153245131019. The next prime is 153245131037. The reversal of 153245131025 is 520131542351.

It is not a de Polignac number, because 153245131025 - 210 = 153245130001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153245130982 and 153245131000.

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 95 ways as a sum of consecutive naturals, for example, 523020779 + ... + 523021071.

It is an arithmetic number, because the mean of its divisors is an integer number (2320351488).

Almost surely, 2153245131025 is an apocalyptic number.

It is an amenable number.

153245131025 is a deficient number, since it is larger than the sum of its proper divisors (69508611823).

153245131025 is a wasteful number, since it uses less digits than its factorization.

153245131025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 153245131025 its reverse (520131542351), we get a palindrome (673376673376).

The spelling of 153245131025 in words is "one hundred fifty-three billion, two hundred forty-five million, one hundred thirty-one thousand, twenty-five".

Divisors: 1 5 7 25 35 101 127 175 233 293 505 635 707 889 1165 1465 1631 2051 2525 3175 3535 4445 5825 7325 8155 10255 12827 17675 22225 23533 29591 29593 37211 40775 51275 64135 68269 89789 117665 147955 147965 164731 186055 207137 207151 260477 320675 341345 448945 477883 588325 739775 739825 823655 930275 1035685 1035755 1302385 1706725 2244725 2389415 2988691 3758311 4118275 5178425 5178775 6511925 6895169 8670163 11947075 14943455 18791555 20920837 26308177 34475845 43350815 48266183 60691141 74717275 93957775 104604185 131540885 172379225 216754075 241330915 303455705 523020925 657704425 875686463 1206654575 1517278525 4378432315 6129805241 21892161575 30649026205 153245131025