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1016681931 = 32271141669
BaseRepresentation
bin111100100110010…
…101010111001011
32121212001210102100
4330212111113023
54040232310211
6244515004443
734123440156
oct7446252713
92555053370
101016681931
11481988201
12244599723
1313282b255
1499050c9d
155e3c9156
hex3c9955cb

1016681931 has 12 divisors (see below), whose sum is σ = 1469117520. Its totient is φ = 677521680.

The previous prime is 1016681927. The next prime is 1016681933. The reversal of 1016681931 is 1391866101.

It is a happy number.

It is not a de Polignac number, because 1016681931 - 22 = 1016681927 is a prime.

It is a super-2 number, since 2×10166819312 = 2067284297643777522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1016681933) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3565 + ... + 45233.

It is an arithmetic number, because the mean of its divisors is an integer number (122426460).

Almost surely, 21016681931 is an apocalyptic number.

1016681931 is a deficient number, since it is larger than the sum of its proper divisors (452435589).

1016681931 is a wasteful number, since it uses less digits than its factorization.

1016681931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44386 (or 44383 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1016681931 is about 31885.4501457953. The cubic root of 1016681931 is about 1005.5300063257.

The spelling of 1016681931 in words is "one billion, sixteen million, six hundred eighty-one thousand, nine hundred thirty-one".

Divisors: 1 3 9 2711 8133 24399 41669 125007 375021 112964659 338893977 1016681931