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125543371041 = 3611211932
BaseRepresentation
bin111010011101011110…
…1111101000100100001
3110000001100000001000000
41310322331331010201
54024103100333131
6133401314050213
712033040022004
oct1647275750441
9400040001000
10125543371041
1149273a61900
12203b8279969
13bab97a508a
14610d64d53b
1533eb990ce6
hex1d3af7d121

125543371041 has 63 divisors (see below), whose sum is σ = 207069854467. Its totient is φ = 76023113760.

The previous prime is 125543371039. The next prime is 125543371049. The reversal of 125543371041 is 140173345521.

The square root of 125543371041 is 354321.

It is a perfect power (a square), and thus also a powerful number.

125543371041 is a `hidden beast` number, since 1 + 2 + 5 + 543 + 3 + 7 + 104 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64482984225 + 61060386816 = 253935^2 + 247104^2 .

It is not a de Polignac number, because 125543371041 - 21 = 125543371039 is a prime.

It is a super-2 number, since 2×1255433710412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125543370987 and 125543371005.

It is not an unprimeable number, because it can be changed into a prime (125543371049) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 105232741 + ... + 105233933.

Almost surely, 2125543371041 is an apocalyptic number.

125543371041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125543371041 is the 354321-st square number.

125543371041 is the 177161-st centered octagonal number.

It is an amenable number.

125543371041 is a deficient number, since it is larger than the sum of its proper divisors (81526483426).

125543371041 is an frugal number, since it uses more digits than its factorization.

125543371041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 125543371041 by its sum of digits (36), we get a square (4519561357476 = 21259262).

The spelling of 125543371041 in words is "one hundred twenty-five billion, five hundred forty-three million, three hundred seventy-one thousand, forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 1193 2673 3267 3579 8019 9801 10737 13123 29403 32211 39369 88209 96633 118107 144353 289899 354321 433059 869697 1062963 1299177 1423249 3188889 3897531 4269747 9566667 11692593 12809241 15655739 35077779 38427723 46967217 105233337 115283169 140901651 172213129 345849507 422704953 516639387 1037548521 1268114859 1549918161 3804344577 4649754483 11413033731 13949263449 41847790347 125543371041