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1001341125 = 32536011481
BaseRepresentation
bin111011101011110…
…100000011000101
32120210012101210100
4323223310003011
54022320404000
6243210114313
733546154611
oct7353640305
92523171710
101001341125
1147425a454
1223b41b999
1312c5b9755
1496dba341
155cd98a00
hex3baf40c5

1001341125 has 48 divisors (see below), whose sum is σ = 1809308592. Its totient is φ = 532800000.

The previous prime is 1001341091. The next prime is 1001341141. The reversal of 1001341125 is 5211431001.

It can be written as a sum of positive squares in 8 ways, for example, as 192848769 + 808492356 = 13887^2 + 28434^2 .

It is not a de Polignac number, because 1001341125 - 213 = 1001332933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001341098 and 1001341107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675385 + ... + 676865.

It is an arithmetic number, because the mean of its divisors is an integer number (37693929).

Almost surely, 21001341125 is an apocalyptic number.

1001341125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001341125 is a deficient number, since it is larger than the sum of its proper divisors (807967467).

1001341125 is a wasteful number, since it uses less digits than its factorization.

1001341125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1001341125 is about 31643.9745449272. The cubic root of 1001341125 is about 1000.4468419692.

Adding to 1001341125 its reverse (5211431001), we get a palindrome (6212772126).

The spelling of 1001341125 in words is "one billion, one million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 601 1125 1481 1803 3005 4443 5409 7405 9015 13329 15025 22215 27045 37025 45075 66645 75125 111075 135225 185125 225375 333225 555375 676125 890081 1666125 2670243 4450405 8010729 13351215 22252025 40053645 66756075 111260125 200268225 333780375 1001341125