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1083029961 = 31367341263
BaseRepresentation
bin100000010001101…
…1011100111001001
32210110220121210210
41000203123213021
54204223424321
6255245031333
735560413516
oct10043334711
92713817723
101083029961
11506384492
12262855549
131434bb740
14a3ba230d
1565132b76
hex408db9c9

1083029961 has 16 divisors (see below), whose sum is σ = 1557468416. Its totient is φ = 665473536.

The previous prime is 1083029951. The next prime is 1083030007. The reversal of 1083029961 is 1699203801.

It is not a de Polignac number, because 1083029961 - 29 = 1083029449 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1083029951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5616 + ... + 46878.

It is an arithmetic number, because the mean of its divisors is an integer number (97341776).

Almost surely, 21083029961 is an apocalyptic number.

It is an amenable number.

1083029961 is a deficient number, since it is larger than the sum of its proper divisors (474438455).

1083029961 is a wasteful number, since it uses less digits than its factorization.

1083029961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41952.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 1083029961 is about 32909.4205509608. The cubic root of 1083029961 is about 1026.9441462810.

The spelling of 1083029961 in words is "one billion, eighty-three million, twenty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 13 39 673 2019 8749 26247 41263 123789 536419 1609257 27769999 83309997 361009987 1083029961