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1293689031 = 341531911039
BaseRepresentation
bin100110100011100…
…0010000011000111
310100011022012201120
41031013002003013
510122141022111
6332212125023
744026114065
oct11507020307
93304265646
101293689031
11604287798
12301306773
1317803858b
14c3b5b035
1578895406
hex4d1c20c7

1293689031 has 32 divisors (see below), whose sum is σ = 1811496960. Its totient is φ = 820435200.

The previous prime is 1293689029. The next prime is 1293689039. The reversal of 1293689031 is 1309863921.

It is not a de Polignac number, because 1293689031 - 21 = 1293689029 is a prime.

It is a super-2 number, since 2×12936890312 = 3347262617859437922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293689039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1244610 + ... + 1245648.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 21293689031 is an apocalyptic number.

1293689031 is a deficient number, since it is larger than the sum of its proper divisors (517807929).

1293689031 is a wasteful number, since it uses less digits than its factorization.

1293689031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 1293689031 is about 35967.8888871727. Note that the first 5 decimals coincide. The cubic root of 1293689031 is about 1089.6239285632.

The spelling of 1293689031 in words is "one billion, two hundred ninety-three million, six hundred eighty-nine thousand, thirty-one".

Divisors: 1 3 41 53 123 159 191 573 1039 2173 3117 6519 7831 10123 23493 30369 42599 55067 127797 165201 198449 415043 595347 1245129 2257747 6773241 8136409 10517797 24409227 31553391 431229677 1293689031