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1017380132 = 221132299829
BaseRepresentation
bin111100101000111…
…111110100100100
32121220101021011122
4330220333310210
54040422131012
6244541553112
734132405556
oct7450776444
92556337148
101017380132
1148231482a
12244875798
13132a13ca2
14991934d6
155e4b5e72
hex3ca3fd24

1017380132 has 24 divisors (see below), whose sum is σ = 1804198200. Its totient is φ = 501935616.

The previous prime is 1017380123. The next prime is 1017380141. The reversal of 1017380132 is 2310837101.

It is an interprime number because it is at equal distance from previous prime (1017380123) and next prime (1017380141).

It can be written as a sum of positive squares in 4 ways, for example, as 293985316 + 723394816 = 17146^2 + 26896^2 .

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 7 ways as a sum of consecutive naturals, for example, 98594 + ... + 108422.

It is an arithmetic number, because the mean of its divisors is an integer number (75174925).

Almost surely, 21017380132 is an apocalyptic number.

It is an amenable number.

1017380132 is a deficient number, since it is larger than the sum of its proper divisors (786818068).

1017380132 is a wasteful number, since it uses less digits than its factorization.

1017380132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10175 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1017380132 is about 31896.3968498011. The cubic root of 1017380132 is about 1005.7601344787.

It can be divided in two parts, 1017 and 380132, that multiplied together give a square (386594244 = 196622).

The spelling of 1017380132 in words is "one billion, seventeen million, three hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 4 113 226 229 452 458 916 9829 19658 25877 39316 51754 103508 1110677 2221354 2250841 4442708 4501682 9003364 254345033 508690066 1017380132