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4122532125 = 335319531213
BaseRepresentation
bin1111010110111000…
…1101100100011101
3101122022021022221000
43311232031210131
531420332012000
61521024100513
7204105642045
oct36556154435
911568238830
104122532125
111826075448
12970764739
1350912402a
142b172c725
15191dcb000
hexf5b8d91d

4122532125 has 128 divisors (see below), whose sum is σ = 8181388800. Its totient is φ = 2041977600.

The previous prime is 4122532069. The next prime is 4122532187. The reversal of 4122532125 is 5212352214.

4122532125 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 532 + 125 = 666.

It is not a de Polignac number, because 4122532125 - 27 = 4122531997 is a prime.

It is a super-2 number, since 2×41225321252 = 33990542243314031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3398019 + ... + 3399231.

It is an arithmetic number, because the mean of its divisors is an integer number (63917100).

Almost surely, 24122532125 is an apocalyptic number.

4122532125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4122532125 is a deficient number, since it is larger than the sum of its proper divisors (4058856675).

4122532125 is a wasteful number, since it uses less digits than its factorization.

4122532125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1293 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 4122532125 is about 64206.9476380866. The cubic root of 4122532125 is about 1603.4472711429.

Adding to 4122532125 its reverse (5212352214), we get a palindrome (9334884339).

The spelling of 4122532125 in words is "four billion, one hundred twenty-two million, five hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 53 57 75 95 125 135 159 171 225 265 285 375 475 477 513 675 795 855 1007 1125 1213 1325 1425 1431 2375 2385 2565 3021 3375 3639 3975 4275 5035 6065 6625 7125 7155 9063 10917 11925 12825 15105 18195 19875 21375 23047 25175 27189 30325 32751 35775 45315 54585 59625 64125 64289 69141 75525 90975 115235 125875 135945 151625 163755 178875 192867 207423 226575 272925 321445 345705 377625 454875 576175 578601 622269 679725 818775 964335 1037115 1132875 1221491 1364625 1607225 1728525 1735803 2880875 2893005 3111345 3398625 3664473 4093875 4821675 5185575 6107455 8036125 8642625 8679015 10993419 14465025 15556725 18322365 24108375 25927875 30537275 32980257 43395075 54967095 72325125 77783625 91611825 152686375 164901285 216975375 274835475 458059125 824506425 1374177375 4122532125