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1002011112 = 233243323647
BaseRepresentation
bin111011101110010…
…111100111101000
32120211110102211200
4323232113213220
54023003323422
6243232324200
733554645124
oct7356274750
92524412750
101002011112
11474677863
1223b6a3660
1312c7926ab
1497112584
155ce7c2ac
hex3bb979e8

1002011112 has 48 divisors (see below), whose sum is σ = 2776899840. Its totient is φ = 326235168.

The previous prime is 1002011099. The next prime is 1002011119. The reversal of 1002011112 is 2111102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002011094 and 1002011103.

It is not an unprimeable number, because it can be changed into a prime (1002011119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158728 + ... + 164919.

It is an arithmetic number, because the mean of its divisors is an integer number (57852080).

Almost surely, 21002011112 is an apocalyptic number.

1002011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002011112 is an abundant number, since it is smaller than the sum of its proper divisors (1774888728).

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

1002011112 is a wasteful number, since it uses less digits than its factorization.

1002011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323702 (or 323695 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1002011112 is about 31654.5591029160. The cubic root of 1002011112 is about 1000.6699217713.

Adding to 1002011112 its reverse (2111102001), we get a palindrome (3113113113).

The spelling of 1002011112 in words is "one billion, two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 323647 647294 970941 1294588 1941882 2589176 2912823 3883764 5825646 7767528 11651292 13916821 23302584 27833642 41750463 55667284 83500926 111334568 125251389 167001852 250502778 334003704 501005556 1002011112