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993529131 = 3767706133
BaseRepresentation
bin111011001110000…
…000110100101011
32120020111111202020
4323032000310223
54013320413011
6242330435523
733422600250
oct7316006453
92506444666
10993529131
1146a904161
12238892ba3
1312aab2a7a
1495d45427
155c354006
hex3b380d2b

993529131 has 16 divisors (see below), whose sum is σ = 1536547584. Its totient is φ = 559256544.

The previous prime is 993529129. The next prime is 993529153. The reversal of 993529131 is 131925399.

993529131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993529131 - 21 = 993529129 is a prime.

It is a super-2 number, since 2×9935291312 = 1974200268291230322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (993529111) 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, 351660 + ... + 354473.

It is an arithmetic number, because the mean of its divisors is an integer number (96034224).

Almost surely, 2993529131 is an apocalyptic number.

993529131 is a deficient number, since it is larger than the sum of its proper divisors (543018453).

993529131 is a wasteful number, since it uses less digits than its factorization.

993529131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706210.

The product of its digits is 65610, while the sum is 42.

The square root of 993529131 is about 31520.2971274067. The cubic root of 993529131 is about 997.8383744083.

The spelling of 993529131 in words is "nine hundred ninety-three million, five hundred twenty-nine thousand, one hundred thirty-one".

Divisors: 1 3 7 21 67 201 469 1407 706133 2118399 4942931 14828793 47310911 141932733 331176377 993529131