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103132081 = 1321735897
BaseRepresentation
bin1100010010110…
…10101110110001
321012001122121201
412021122232301
5202400211311
614122251201
72361415423
oct611325661
9235048551
10103132081
1153240728
122a656b01
131849c300
14d9a8813
1590c29c1
hex625abb1

103132081 has 12 divisors (see below), whose sum is σ = 118248012. Its totient is φ = 89596416.

The previous prime is 103132067. The next prime is 103132109. The reversal of 103132081 is 180231301.

It can be written as a sum of positive squares in 6 ways, for example, as 2310400 + 100821681 = 1520^2 + 10041^2 .

It is not a de Polignac number, because 103132081 - 27 = 103131953 is a prime.

It is a super-2 number, since 2×1031320812 = 21272452262781122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103132021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15076 + ... + 20821.

It is an arithmetic number, because the mean of its divisors is an integer number (9854001).

Almost surely, 2103132081 is an apocalyptic number.

It is an amenable number.

103132081 is a deficient number, since it is larger than the sum of its proper divisors (15115931).

103132081 is a wasteful number, since it uses less digits than its factorization.

103132081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35940 (or 35927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103132081 is about 10155.3966441494. The cubic root of 103132081 is about 468.9550968326.

Adding to 103132081 its reverse (180231301), we get a palindrome (283363382).

The spelling of 103132081 in words is "one hundred three million, one hundred thirty-two thousand, eighty-one".

Divisors: 1 13 17 169 221 2873 35897 466661 610249 6066593 7933237 103132081