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1242000312 = 233737199807
BaseRepresentation
bin100101000000111…
…0110101110111000
310012120001011010120
41022001312232320
510020423002222
6323124213240
742530554110
oct11201665670
93176034116
101242000312
11588093243
122a7b3a220
1316a40b637
14bad44040
157408515c
hex4a076bb8

1242000312 has 64 divisors (see below), whose sum is σ = 3644497920. Its totient is φ = 345264768.

The previous prime is 1242000311. The next prime is 1242000323. The reversal of 1242000312 is 2130002421.

It is a junction number, because it is equal to n+sod(n) for n = 1242000291 and 1242000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242000311) 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, 93688 + ... + 106119.

It is an arithmetic number, because the mean of its divisors is an integer number (56945280).

Almost surely, 21242000312 is an apocalyptic number.

1242000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1242000312 is an abundant number, since it is smaller than the sum of its proper divisors (2402497608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1242000312 is a wasteful number, since it uses less digits than its factorization.

1242000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199860 (or 199856 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1242000312 is about 35242.0247999459. The cubic root of 1242000312 is about 1074.9144513137.

Adding to 1242000312 its reverse (2130002421), we get a palindrome (3372002733).

The spelling of 1242000312 in words is "one billion, two hundred forty-two million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 199807 399614 599421 799228 1198842 1398649 1598456 2397684 2797298 4195947 4795368 5594596 7392859 8391894 11189192 14785718 16783788 22178577 29571436 33567576 44357154 51750013 59142872 88714308 103500026 155250039 177428616 207000052 310500078 414000104 621000156 1242000312