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102012777 = 343793323
BaseRepresentation
bin1100001010010…
…01011101101001
321002221210020000
412011021131221
5202103402102
614042253213
72346044226
oct605113551
9232853200
10102012777
1152646789
122a1b7209
13181999b9
14d79694d
158e5101c
hex6149769

102012777 has 20 divisors (see below), whose sum is σ = 152837520. Its totient is φ = 67808664.

The previous prime is 102012769. The next prime is 102012787. The reversal of 102012777 is 777210201.

It is not a de Polignac number, because 102012777 - 23 = 102012769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102012777.

It is not an unprimeable number, because it can be changed into a prime (102012787) 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 19 ways as a sum of consecutive naturals, for example, 29038 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (7641876).

Almost surely, 2102012777 is an apocalyptic number.

It is an amenable number.

102012777 is a deficient number, since it is larger than the sum of its proper divisors (50824743).

102012777 is an equidigital number, since it uses as much as digits as its factorization.

102012777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 102012777 is about 10100.1374743119. The cubic root of 102012777 is about 467.2523812838.

Adding to 102012777 its reverse (777210201), we get a palindrome (879222978).

The spelling of 102012777 in words is "one hundred two million, twelve thousand, seven hundred seventy-seven".

Divisors: 1 3 9 27 81 379 1137 3323 3411 9969 10233 29907 30699 89721 269163 1259417 3778251 11334753 34004259 102012777